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
