Find the volume of the parallepiped with adjacent edges t=3j-4j-6k , u=3i-7j-7k and v=5i+j+3k.
if you can with step by step work. i cant wrap my head around this and i am trying to understand these types of question. my textbook hasn't .

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

c. 6tan80

step-by-step explanation: