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27.10.2020

# The magnitude of vector λa is 5. Find the value of λ, if: a = (−6, 8)

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09.07.2023, solved by verified expert
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Physics
Step-by-step answer
P Answered by Master

Given :

To Find :

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Physics
Step-by-step answer
P Answered by Specialist

The question is missing the alternatives. Here is the complete question.

Two vectors of magnitude |A| = 8units and |B| = 5units make an angle that can vary from 0° to 180°. The magnitude of the resultant vector A+B CANNOT have the value of:

A. 2 units

B. 5 units

C. 8 units

D. 12 units

A. 2 units

Explanation: Vector is an entity that has characteristics as magnitude and direction. Resultant vector is the "sum" of 2 or more vectors.

In this question, the vectors have magnitude and angle varies from 0° to 180°.

When angle between vectors A and B is 0°, they are parallel and pointing to the same direction, so:

= 13

When the angle is 180°, it means vectors are in opposing directions, so:

= 3

From the calculations, we can conclude the magnitude of resultant vector varies between 3 and 13.

The least value is 3, so it cannot have a value of 2 units.

Physics
Step-by-step answer
P Answered by Specialist

The question is missing the alternatives. Here is the complete question.

Two vectors of magnitude |A| = 8units and |B| = 5units make an angle that can vary from 0° to 180°. The magnitude of the resultant vector A+B CANNOT have the value of:

A. 2 units

B. 5 units

C. 8 units

D. 12 units

A. 2 units

Explanation: Vector is an entity that has characteristics as magnitude and direction. Resultant vector is the "sum" of 2 or more vectors.

In this question, the vectors have magnitude and angle varies from 0° to 180°.

When angle between vectors A and B is 0°, they are parallel and pointing to the same direction, so:

= 13

When the angle is 180°, it means vectors are in opposing directions, so:

= 3

From the calculations, we can conclude the magnitude of resultant vector varies between 3 and 13.

The least value is 3, so it cannot have a value of 2 units.

Spanish
Step-by-step answer
P Answered by Master
Bruh I can reed that much so sorry could help u
Spanish
Step-by-step answer
P Answered by Specialist
Bruh I can reed that much so sorry could help u
Mathematics
Step-by-step answer
P Answered by Specialist

1. The given triangle ABC, has a right angle at C, BC=11, and

Ans: A

2. The reference angle is the angle the terminal side makes with x-axis.

This implies that, has a reference angle of .

Ans: C

3. Let x be the shortest distance the ramp can span.

From the diagram;

Ans:B

4. Use the Pythagorean identity: .

If ,then

, In QII, the secant ratio is negative.

Ans:C

5. We have

Ans:A and D

6.  The given function that is equivalent to is .

When we reflect the graph of    in the y-axis and shift it to the left by   units, it coincides with graph of .

Ans:C

7. The function is a one-to-one function on the interval

When we restrict the domain of   on it becomes an invertible function.

Ans: C

8. The given function is

The horizontal shift is given by

The direction of the shift is to the right.

Ans:D

9.   by the symmetric property of even functions.

Ans: B

10. Recall the cosine rule:

Let the angle measure opposite to the longest side be A, then a=19,b=17, and c=15.

Ans:B

11.  We want to solve on the interval;

Factor:

Either

Or This means that

Therefore required solution is

Ans:D

12. Use the relation: and

The given rectangular coordinate is (1,-2)

This implies that:

This means   or

The polar forms are: and

Ans: B and C

13.  The polar equation that represents an ellipse is

.

When written in standard form; .

The eccentricity is .

Therefore the is an ellipse.

Ans: B

14. The DeMoivre’s Theorem states that;

This implies that:

Ans: A

15. Let the initial point be (x,y), Then .

If x=-8, and y=-4.

Then, .

.

Ans: B

16. We find the dot product to see if it is zero.

Since the dot product is not zero the vectors are not orthogonal

Ans:B

17. Given v=5i+4j, w=2i-3j.

u=v+w

Add corresponding components

This implies u=(5i+4j)+(2i-3j)

u=(5i+2i+4j-3j)

u=7i+j

Ans:B

See attachment.

Computers and Technology
Step-by-step answer
P Answered by Master

Explanation:

The following code is written in Java and loops five times asking for the desired inputs from the user and saves that information in two Vectors named jerseyNumber and ratings. Then creates a while loop for the menu and a seperate method for each of the options...

import java.util.Scanner;

import java.util.Vector;

class {

static Scanner in = new Scanner(System.in);

static Vector<Integer> jerseyNumber = new Vector<>();

static Vector<Integer> ratings = new Vector<>();

public static void main(String[] args) {

for (int x = 0; x < 5; x++) {

System.out.println("Enter player " + (x+1) + "'s jersey number:");

jerseyNumber.add(in.nextInt());

System.out.println("Enter player " + (x+1) + "'s rating:");

ratings.add(in.nextInt());

}

boolean reloop = true;

while (reloop == true) {

System.out.println("Menu");

System.out.println("a - Add player");

System.out.println("d - Remove player");

System.out.println("u - Update player rating");

System.out.println("r - Output players above a rating");

System.out.println("o - Output roster");

System.out.println("q - Quit");

char answer = in.next().charAt(0);

switch (answer) {

case 'a': addPlayer();

break;

case 'd': removePlayer();

break;

case 'u': updatePlayer();

break;

case 'r': outputRating();

break;

case 'o': outputRoster();

break;

case 'q': System.exit(0);

reloop = false;

break;

}

}

}

public static void addPlayer() {

System.out.println("Enter player's jersey number:");

jerseyNumber.add(in.nextInt());

System.out.println("Enter player's rating:");

ratings.add(in.nextInt());

}

public static void removePlayer() {

System.out.println("Enter Jersey number:");

int number = in.nextInt();

for (int x = 0; x < jerseyNumber.size(); x++) {

if (jerseyNumber.get(x) == number) {

jerseyNumber.remove(x);

ratings.remove(x);

}

}

}

public static void updatePlayer() {

System.out.println("Enter Jersey number:");

int number = in.nextInt();

System.out.println("Enter new Rating:");

int rating = in.nextInt();

for (int x = 0; x < jerseyNumber.size(); x++) {

if (jerseyNumber.get(x) == number) {

ratings.set(x, rating);

}

}

}

public static void outputRating() {

System.out.println("Enter Rating:");

int rating = in.nextInt();

for (int x = 0; x < ratings.size(); x++) {

if (ratings.get(x) >= rating) {

System.out.println(jerseyNumber.get(x));

}

}

}

public static void outputRoster() {

for (int x = 0; x < jerseyNumber.size(); x++) {

System.out.println("Player " + (x+1) + " -- Jersey number: " + jerseyNumber.get(x) + ", Rating: " + ratings.get(x));

}

}

}

Computers and Technology
Step-by-step answer
P Answered by Specialist

Explanation:

The following code is written in Java and loops five times asking for the desired inputs from the user and saves that information in two Vectors named jerseyNumber and ratings. Then creates a while loop for the menu and a seperate method for each of the options...

import java.util.Scanner;

import java.util.Vector;

class {

static Scanner in = new Scanner(System.in);

static Vector<Integer> jerseyNumber = new Vector<>();

static Vector<Integer> ratings = new Vector<>();

public static void main(String[] args) {

for (int x = 0; x < 5; x++) {

System.out.println("Enter player " + (x+1) + "'s jersey number:");

jerseyNumber.add(in.nextInt());

System.out.println("Enter player " + (x+1) + "'s rating:");

ratings.add(in.nextInt());

}

boolean reloop = true;

while (reloop == true) {

System.out.println("Menu");

System.out.println("a - Add player");

System.out.println("d - Remove player");

System.out.println("u - Update player rating");

System.out.println("r - Output players above a rating");

System.out.println("o - Output roster");

System.out.println("q - Quit");

char answer = in.next().charAt(0);

switch (answer) {

case 'a': addPlayer();

break;

case 'd': removePlayer();

break;

case 'u': updatePlayer();

break;

case 'r': outputRating();

break;

case 'o': outputRoster();

break;

case 'q': System.exit(0);

reloop = false;

break;

}

}

}

public static void addPlayer() {

System.out.println("Enter player's jersey number:");

jerseyNumber.add(in.nextInt());

System.out.println("Enter player's rating:");

ratings.add(in.nextInt());

}

public static void removePlayer() {

System.out.println("Enter Jersey number:");

int number = in.nextInt();

for (int x = 0; x < jerseyNumber.size(); x++) {

if (jerseyNumber.get(x) == number) {

jerseyNumber.remove(x);

ratings.remove(x);

}

}

}

public static void updatePlayer() {

System.out.println("Enter Jersey number:");

int number = in.nextInt();

System.out.println("Enter new Rating:");

int rating = in.nextInt();

for (int x = 0; x < jerseyNumber.size(); x++) {

if (jerseyNumber.get(x) == number) {

ratings.set(x, rating);

}

}

}

public static void outputRating() {

System.out.println("Enter Rating:");

int rating = in.nextInt();

for (int x = 0; x < ratings.size(); x++) {

if (ratings.get(x) >= rating) {

System.out.println(jerseyNumber.get(x));

}

}

}

public static void outputRoster() {

for (int x = 0; x < jerseyNumber.size(); x++) {

System.out.println("Player " + (x+1) + " -- Jersey number: " + jerseyNumber.get(x) + ", Rating: " + ratings.get(x));

}

}

}

Mathematics
Step-by-step answer
P Answered by Specialist

ANSWER

See attachment for questions 6 to 25

QUESTION 26

The given function is:

The slope function is obtained by taking the first derivative of the function with respect to x.

At (-2,6), x= -2

We plug in the x-value to find the slope of the function.

The equation is given by:

We substitute the point and slope into the formula to get;

The correct answer is D

Mathematics
Step-by-step answer
P Answered by Master

ANSWER

See attachment for questions 6 to 25

QUESTION 26

The given function is:

The slope function is obtained by taking the first derivative of the function with respect to x.

At (-2,6), x= -2

We plug in the x-value to find the slope of the function.

The equation is given by:

We substitute the point and slope into the formula to get;

The correct answer is D

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