Question

32.
Figure shows the orientation of two vectors U
and 7 in the xy - plane. If u = ai + bj and
v = pi +9). Which of the following is correct
YA
u
O
Х
(A) a and p are positive which b and q are
negative
(B) a, p and b are positive while qia negative
(C) a, q and b are positive while pis negative
(D) a, b, p and q are all positive​

Answer 1

Here, for

u

, the tail is placed at the origin and both the x-component and y-component have projection on positive x-axis and y-axis respectively. Therefore, a and b are positive. Next, we translate

v

in such a way that its direction is unchanged and its tail is placed at the origin. We will observe that the x-component has projection on positive x-axis, whereas, the y-component has projection on the negative y-axis. Therefore, p is positive but q is negative.

Hence B is the correct answer.. :)

#loki