Question Type 3: Doing simple calculations with vectors Bootcamps

Compute the distance between the points represented by $v=(4,6,1)$ and $2w=2(3,4,3)$.

Determine the magnitude of the vector $-v + 4w$ given $v = (4,6,1)$ and $w = (3,4,3)$.

Find the unit vector in the direction of $-v + 4w$ for $v=(4,6,1)$ and $w=(3,4,3)$.

Calculate the angle $\theta$ between $v=(4,6,1)$ and $w=(3,4,3)$.

Find the projection of $v=(4,6,1)$ onto $w=(3,4,3)$.

Find the cross product $v \times w$ for $v=(4,6,1)$ and $w=(3,4,3)$.

Determine a unit vector perpendicular to both $v=(4,6,1)$ and $w=(3,4,3)$.