3d vectors

With respect to the origin O, the lines l and m have vector equations r = 2i + k + λ(i − j + 2k) and r = 2j + 6k + µ(i + 2j − 2k) respectively. Find the equation of the plane which is parallel to l... more

find a.b if a=|10| and b=|2| , and the angle between a and b is -pi/3 radians.

Let a = (-2, -7, -1)   |a|=

If not, when would linear dependency imply coplanarity?

I've tried to answer the problem but I'm pretty sure that everything I did was wrong. Here's the problem.   This fun problem relates to physics. In case you’re not a physics major, we urge you... more

A vehicle travels 25 km at an angle of 20 degrees north of east, then turns and travels a distance 35 km of at an angle of 50 degrees west of north and finally turns and travels a distance of 10 km... more