Question

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

Answer 1

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=√(6^2+4^2)√(7^2+5^2)\cos\theta`

`\cos\theta=(31)/(√(962))\implies\theta\approx88.2^\circ`