Figure shows the orientation of two vectors u and v in the XY plane If u→=ai^+bj^ and v→=pi^+qj^which of the following is correct ?

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Figure shows the orientation of two vectors u and v in the XY plane If $\vec{u} = a \hat{i} + b \hat{j} and \vec{v} = p \hat{i} + q \hat{j}$

which of the following is correct ?

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a, p and b are positive while q is negative

a, b, p and q are all positive.

a, q and b are positive while p is negative.

a and p are positive while b and q are negative.

answer is B.

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Detailed Solution

From the given figure,

Rectangular components of $\vec{u}$ is in +ve x-direction and +ve y-direction.

Rectangular components of $\vec{v}$ is in +ve x-direction and -ve y-direction.

Hence, a, p and b are positive while q is negative

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