Find the vector projection of b along a for the vectors a 0

Find the vector projection of b along a for the vectors a = (0, 0, 1) and b = (-7, 10, 9).: Select one: proj-b = (0, 0, Squareroot 230) b. proj-b = (-63/230, 9/23, 81/230) c. proj -b = (0, 0 9/230) d. proj-b (0, 0, 9) e. None of the above

Solution

Note that a = (0,0,1) is a unit vector (length 1).

So the projection of b on a is simply <b,a>a= ,<(-7,10,9),(0,0,1)> a

                                                                     =(0,0,9)   (OPTION d)