Question

The component of a vector along x-axis will have maximum value if

• A. is along positive y-axis
• B. $\overrightarrow { \mathrm { r } }$ is along positive x-axis
• C. $\overrightarrow { \mathrm { r } }$ is makes an angle of $45 ^ { \circ }$ with the x-axis
• D. $\overrightarrow { \mathrm { r } }$ is along negative y-axis

Answer 1

Answer: (B)

$\overrightarrow { \mathrm { r } }$ is along positive x-axis

Answer 2

If $\overrightarrow { \mathbf { r } }$ makes an angle $\theta$with x – axis, then component of along x – axis = $\mathrm { r } \cos \theta$

It will be maximum if cos $\theta$ = maximum = 1

Or is along positive x-axis.