I still don\'t understand vectors very well. Please give me a detailed explanati

Question

I still don't understand vectors very well. Please give me a detailed explanation as to HOW to find these answers. Thank you!

The following two questions refer to this situation. Vector A has components (A, A)-+2,+3) Vector B has components (B, B)-3,-1) 12. What is the direction of the vector S-A+B? A) toward 1st quadrant, somewhere upper right B) toward 2nd quadrant, somewhere upper left C) toward 3rd quadrant, somewhere lower left D) toward 4th quadrant, somewhere lower right E) None of these, direction is parallel to x- or y-axis. 13. To 3-place precision, what is the magnitude of the vector S-A+B? A) 3.00 2.24C1.73 D D) 3.58 E) None of these

Explanation / Answer

A = 2i + 3j

B = -3i - 1j

S = A + B = 2i + 3j - 3i - 1j = -i + 2j

Sx, Sy = (-1, 2)

vector S is in 2nd quadrant somewhere upper left.

Ans (B)

magnitude = sqrt[1^2 + 2^2] = 2.24

Ans(B)

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