Solveeit Logo

Question

Question: Figure shows the orientation of two vectors \(\overrightarrow { \mathrm { u } }\)and ![](https://cdn...

Figure shows the orientation of two vectors u\overrightarrow { \mathrm { u } }and in the xy plane. If and . Which of the following is correct?

A

A and p are positive while b and q are negative

B

A, p and b are positive while q is negative

C

A, q and b are positive while p is negative

D

A, b, p and q are all positive

Answer

A, p and b are positive while q is negative

Explanation

Solution

As per figure, in u=ai^+bj^\overrightarrow { \mathrm { u } } = \mathrm { a } \hat { \mathrm { i } } + \mathrm { b } \hat { \mathrm { j } } both a and b are Positive while in v=pi^+qj^\vec { v } = p \hat { i } + q \hat { j } p is positive and q is negative. Thus a, b and p are positive and q is negative.