  VectorA⃗points in the negativeydirection and has a magnitude of 6 units. VectorB⃗has twice the magnitude and points in the positivexdirectionFind the direction and magnitude ofB⃗−A⃗.Express your answer as a whole number. and Express your answer using two significant figures.

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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