This isn't so much a problem of calculation, so much as it is I need to know if i did it right, you'll see what I mean.
vectors v=(2,0,2), u=(-1,1,0), w=(0,-1,1)
Computer the quantities that make sense (a period denotes the dot product, x denotes cross product):
(v x u) x w + 1
(v x u) + (v.u)
(v x u) . w + (v x w) . u + 1
The Attempt at a Solution
I said that the first one is the form of scalar * vector which equals a vector
the second is the product two cross vectors, which is a vector, plus a scalar, which does not make sense.
The third has the form of a vector plus a scalar, which doesnt make sense
and the fourth:
(v x u) . w
is a vector cross vector, which is a vector, dotted with another which is a scalar
(v x w) . u + 1
is a vector cross vector, which is a vector, dotted with a vector, which is a scalar, plus 1, which is a scalar, so youre adding three scalars, which makes sense