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Fed [463]
2 years ago
8

Find the angle between the given vector in degrees. u=<6, 4>, v=<7, 5> HELPPPPPPPPPP

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

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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