Question

If P=mi-2j+2k and Q=2i -nj+k are parallel to each other,then find m and n

Answer 1

two vector are parallel means cross product of its zero .
P =mi -2j +2k
Q =2i -nj + K

P×Q = (-2×1 +n×2)i -( m×1 - 2×2)j + ( -m×n +4)K = 0

so,

-2 +2n =0 → n = 1
m - 4 = 0→ m = 4

varify :-
-mn + 4 =0
-1×4 + 4 =0


so, m = 4 and n = 1

Answer 2

Answer:

p vector × q vector = 0

by putting values nd solving we get

m = 4 and n = 1