What is the vector b, which is collinear with a=(2,1,-1) and satisfies the condition a = a.b = 3? a) (1,1/2, -1/2)
b) (2/3, 1/3, -1/3)
c) (1/2, 1/4, -1/4)
d) (1,1,0)
12. If a=2i-3j-k and b = i +4j-2k, find axb. a) 10i+ 3) +11k
b) -10i-3j-11k c) Oi +0j + Ok d) +j+ k 13. If the matrix M transforms the point A(-3,5) onto B(7,11) and the point C(-1,1) onto D(1,1), find M. a. [ 4 3, 1 2]
b. [-1 2, 3 -4]
c.[1 2, 3 4]
d. [1 3, 2 4] 14. The dot product is not useful in a) calculating the area of a triangle. b) determining perpendicular vector. c) determining the linearity between two vectors. d) finding the angle between two vectors.