Vectors and the Geometry of Space

Question

Let a=(−2,−10,−2) and b=(8,−3,4) be vectors. Compute the following vectors.

A) a+b = ( , , )

B) 7a = ( , , )

C) a-b = ( , , )

D) |a| =

Answer 1

A) <6, -13, 2>

B) <-14, -70, -14>

C) <-10, -7, -6>

D) sqrt(2²+10²+(-2)²)=sqrt(4+100+4)=sqrt(108)=6sqrt(3)