Question

Find the magnitude and direction angle of the vector v. (Round the direction angle to one decimal place.)v = −10i + 16j

Answer 1

giving the vector

V=-10i + 16j

then

the magnitude of the vector is giving by the hypotenuse

then

`Mag=√(16^2+10^2)`
`Mag=2√(89)=18.867`

the direction angle is giving by

`tan(\theta)=(Opp)/(Adj)`
`tan(\theta)=(16)/(10)`
`\theta=arctan(1.6)`
`\theta=arctan(1.6)=57.99\degree`

rounded to one decimal place

then the direction is 58.0