Mathematics: Find the angle between the given vector in degrees. u= 6, 4 , v= 7, 5

A. 4-8+4=-4B-1-8+-1=-9C. 2-8+2=-6D. -8+0=-8The answer is A...

Find the angle between the given vector in degrees.

henrry9091

03.01.2022

Recall that

$\vec a\cdot\vec b=\|\vec a\|\|\vec b\|\cos\theta$

where $\theta$ is the angle between the vectors $\vec a,\vec b$ whose magnitudes are $\|\vec a\|,\|\vec b\|$ , respectively.

We have

$\langle6,4\rangle\cdot\langle7,5\rangle=\sqrt{6^2+4^2}\sqrt{7^2+5^2}\cos\theta$

$\cos\theta=\dfrac{31}{\sqrt{962}}\implies\theta\approx88.2^\circ$

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