(Diagram) 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 ?

Correct option is 2a, p and b are positive while q is negative

Questions

(Diagram) 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 and p are positive while b and q are negative

a, p and b are positive while q is negative

a, q and b are positive while p is negative

a, b, p and q are all positive

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detailed solution

Correct option is B

If we resolve u→ and v→ along x-axis and y-axis it is clear that x and y components of u→ are both directed along positive x-axis and positive y-axis respectively and hence 'a' and 'b' both are positive. Where as x and y components of v→ are both directed along positive x-axis and negative y-axis respectively. Hence 'p' is positive and 'q' is negative.

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