Question

two vectors P and Q are given by P=3î+ 4j +5 k and Q= 2î+2j+3k what are the direction cosines of the vector (P-Q)
a) 1/3,2/3,2/3
b)2/3,1/3,2/3
c)2/5,3/5,4/5
d) 2/3,4/3,5/3​

Answer 1

P - Q = i + 2j + 2k

If a vector is of the form ai + bj + ck

then its direction cosines are shown in

attachment.

So,

direction cosines of P-Q = 1/3, 2/3, 2/3

option a) is correct.

direction cosines are given in attachment.