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**1. Homework Statement**

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.u)w

(v x u) x w + 1

(v x u) + (v.u)

(v x u) . w + (v x w) . u + 1

**3. 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