Question

1. What is the sum of the two vectors (-1,-4) and (3,5)?

Answer 1

What is the sum of the two vectors (-1,-4) and (3,5)

to find the sum we add x component with x and y with y

So

(-1+3) , ( -4+5) = (2,1)

Hence option B is the correct option

2. Evaluate the following expression: -1(5,-1) + 2(1,1)

-1(5,-1) + 2(1,1) = (-5 , 1) + (2,2)

= ( -3 , 3)

Second option is the correct

3. Evaluate the following expression (1,4) -5(1,1)

(1,4) -5(1,1)

= (1,4) (-5,-5)

= (1-5 , 4-5)

= (-4,-1)

4. Let v=(8,-4) and w=(-4,2). Which of the following is true?

as we can see

(8,-4) = -2(-4,2)

v= -2w

and also the Y component of w is 2

5. Which of the following vectors are orthogonal to (-1,3)?

The orthogonal vector will be (3,1) as the dot product is zero

(-1,3).(3,1) = (-3+3) = 0

Hence Option third is the correct one