First slide

Vectors

Question

The component of a vector r along X-axis will have maximum value, if [NCERT Exemplar]

Moderate

A

r is along positive Y-axis
B

r is along positive X-axis
C

r makes an angle of 45⁰ with the X-axis
D

r is along negative Y-axis

Solution

Let r makes an angle 0 with positive X-axis, so component of r along X-axis,
$r_{X} = | r | \cos θ$
${(r_{X})}_{maximum} = | r | (\cos θ)_{maximum}$
$= | r | \cos 0 ° (∵ \cos θ is maximum, if θ = 0 °)$
$= | r |$
$As θ = 0 °$
i.e. r is along positive X-axis.

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