Question

if a vector makes an angle with x axis ,its x component is​

Answer 1

Answer:

a cos ¶

¶ = thetta ( angle between a vector and x axis)

Answer 2

If a vector makes an angle with x axis ,its $x$ component is $Acos\alpha$.

Explanation:

• A vector quantity has magnitude as well as direction.
• A vector which is making some angle with any of the axes, or inclined at any of the axes is broken into two components i.e. a horizontal and a vertical component.
• A vector has two components i.e. one at the horizontal axis and one at the vertical axis.
• Let a vector $A$ make an angle of α with positive $x$-axis.

From the diagram:

• Let $OA$ be the vector.
• X component of $OA$ is $OP$.
• Y component of $OA$ is $OQ$.
• From trigonometric calculations:

$cos \alpha =\frac{OP}{OA}$

• So, x-component $OP=OA cos\alpha$.