First slide

Vectors

Question

The component of a vector $\vec{r}$ along X-axis will have maximum value, if

Very Easy

A

r is along positive Y-axis
B

r is along positive X-axis
C

r makes an angle of $45^{0}$ with the X-axis
D

r is along negative Y-axis

Solution

If the vector $\overset{⇀}{r}$ makes an angle θ with positive x-axis. Then magnitude of the component of $\overset{⇀}{r}$

along x-axis is rcosθ .Now when θ = $0^{0}$ , cosθ becomes maximum. So option (2) is right.

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