1. What is the sum of the two vectors (-1,-4) and (3,5)?(-5,8)(2,1)(0,1)(-3,-20)2. Evaluate the following expression: -1(5,-1) + 2(1,1) (5,-2)(-3,3)(-5,2)(7,1)3. Evaluate the following expression (1,4) -5(1,1)4. Let v=(8,-4) and w=(-4,2). Which of the following is true?V * V =40The x-component of V is 4v= -2wThe y-component of w is 25. Which of the following vectors are orthogonal to (-1,3)? Check all that apply.(1,3)(-2,-3)(3,1)(-6,-2)

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= -2wand 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) = 0Hence Option third is the correct one