(695, #9) Find the sum of the vectors < 1, 0, 1 > and < 0, 0, 1 > and illustrate geometrically.

Solution:

a + b = < 1 + 0, 0 + 0, 1 + 1 > = < 1, 0, 2 >


Geometrically the red vector is < 1, 0, 1 >, the green vector is < 0, 0, 1 > (with its initial point at (1,0,1) and its tip at (1,0,2)) and the blue vector is < 1, 0, 2 >.

Maple code

by: nl