Question

If a Vector A makes an angle theta with x-axis then its x - component is :
(A) Acostheta (B) A^2
(D) A Sintheta

Answer 1

Answer:

a Acostheta is the answer

Answer 2

Answer:

(A) AcosΘ is the correct answer for the question

Explanation:

a component resolved along the component making an angle Θ with the vectors.

Let AB and AC be two vectors inclined at an angle Θ between them and AB=A vector

Making a vector triangle by joining the vectors tail to tail we find that a triangle is formed as drawn in the picture below.

A triangle ABC is formed

then by calculating cosΘ we get the desired answer

cosΘ=AB/AC

Hence component along x axis is AB cosΘ  which is indeed equal to A cosΘ