Question

Find the angle between two vector a and b,
where a = (-4, 3, 0) and b = (2, 0, 0).​

Answer 1

Answer:

Step-by-step explanation:

Given vectors are

$\tt{\vec{a}=-4\hat{i}+3\hat{j}}\\\tt{\vec{b}=2\hat{i}}$

Let θ the Angle between two given vectors

So,

$\sf{cos(\theta)=\left|\dfrac{\vec{a}\cdot\vec{b}}{|\vec{a}||\vec{b}|}\right|}$

$\sf{\implies\,cos(\theta)=\left|\dfrac{-8}{5\times2}\right|}$

$\sf{\implies\,cos(\theta)=\dfrac{4}{5}}$

$\sf{\implies\,\theta=cos^{-1}\left(\dfrac{4}{5}\right)}$