Question

If vectors 2i+3j+ck and -3i+6k are orthogonal the value of c is

Answer 1

Two vectors are orthogonal or perpendicular if their dot product is zero
Dot Product of 2 vectors:
A = a î + b ĵ + c k̂
B = d î + e ĵ + f k̂
A . B = (a î + b ĵ + c k̂) . (d î + e ĵ + f k̂)
A . B = ad + be + cf
So we have product as
A . B = (2)(-3) + (3)(0) + (c)(6) = 0

-6 + 6c = 0
6c = 6 
c = 6/6 = 1

Answer 2

Answer:

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