Question

Vector

A

⃗

points in the negative

y

direction and has a magnitude of 6 units. Vector

B

⃗

has twice the magnitude and points in the positive

x

direction

Find the direction and magnitude of

B

⃗

−

A

⃗

.

Express your answer as a whole number. and Express your answer using two significant figures.

Step 1

Find the magnitude and direction of vector A+B.

**Given in formation:**

The magnitude of the vector-A is 6 units it is pointed in negative-y direction.

The magnitude of the vector-B is twice of vector-A mean it is 12 units it is pointed in positive x-direction.

Step 2

**Formula used:**

We can find magnitude of the vector A+ B using Pythagorean formula.

Here, Ax and Bx are the component of vector-A and vector-B in x direction and Ay and By are the component of vector-A and vector-B in y direction.

To find the direction of vector A+B draw a vector diagram using given information.

Now, use trigonometric function to find the direction of the vector A+B.

Step 3

**Calculation:**

Find the magnitude of the vector A+B using equation-1.

Fi...

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