Let a b c and y be the three dimensional vectors rightarrow

Let a, b, c and y be the three dimensional vectors rightarrow a = 4 rightarrow j + 5 rightarrow k, rightarrow b = rightarrow I + 4 rightarrow j + 7 rightarrow k, rightarrow c = 4 rightarrow I - 8 rightarrow j, rightarrow y = - 5 rightarrow I - 4 rightarrow j Perform the following operations on these vctores: rightarrow c rightarrow a + rightarrow a rightarrow y = (rightarrow a rightarrow b) rightarrow a = ((rightarrow c rightarrow c) rightarrow a) rightarrowa =

Solution

(a)c.a = -32

a.y = -16
c.a + a.y = -48

(b)a.b = 16+35 = 51

(a.b)a = 51(4j+5k) = 204j+ 255k

(c) (c.c)(a.a)=(16+64)(16+25)= 3280