Question

What is the component form of resultant of 4b - 2a?

ā= (6,-2)
b=(-5,2)
Enter your answer by filling in the boxes.
4b- 2a =(_,_)

Answer 1

Answer: (-32, 12)

Step-by-step explanation: I took the test.

Given:

a = (6, -2)

b = (-5, 2)

4b = 4( -5, 2) = ( -20, 8)

-2a = -2( 6, -2) = ( -12, 4)

(-20, 8)

( -12, 4)

+______

(-32, 12)

Answer 2

To find the resultant of 4b - 2a, we need to first calculate 4b and -2a separately, and then add them together.

4b = 4(-5, 2) = (-20, 8)

-2a = -2(6, -2) = (-12, 4)

Now, we can add (-20, 8) and (-12, 4) component-wise to find the component form of the resultant:

4b - 2a = (-20, 8) + (-12, 4) = (-20 - 12, 8 + 4) = (-32, 12)

Therefore, the component form of the resultant of 4b - 2a is (-32, 12).