Question

if A vector = 2i-2j-k and B vector=i+j and the angle between them is 90°.
Then find the projection of resultant vector of A and B on x axis.

Answer 1

so , projection of resultant on x-axis=3

Answer 2

Answer:The projection of resultant vector of A and B on x-axis is $R_{x}=\dfrac{3}{\sqrt{11}}$.

Explanation:

Given that,

$\vec{A} = 2i-2j-k$

$\vec{B} = i+j$

Angle $\theta = 90^{0}$

We know that,

The resultant of the vectors of A and B

$\vec{R} = \vec{A}+\vec{B}$

$\vec{R}=(2i-2j-k)+(i+j)$

$\vec{R}=(3i-j-k)$

The projection of resultant on x-axis

$R_{x}=\dfrac{3}{\sqrt{9+1+1}}$

Hence, The projection of resultant vector of A and B on x-axis is $R_{x}=\dfrac{3}{\sqrt{11}}$.