If vector a = 2i – j + 3k and vector b = (6i +λj +9k) and vect

1.	If vector a = 2i – j + 3k and vector b = (6i +λj +9k) and vector a \|\| vector b, find the value of λ.
Answer» vector a \|\| vector b ⇒ vector a × vector b = vector 0 ⇒ i(–9 – 3λ) + k(2λ + 6) = vector 0 ⇒ λ = – 3.

If vector a = 2i – j + 3k and vector b = (6i +λj +9k) and vector a || vector b, find the value of λ.

Answer»

vector a || vector b ⇒ vector a × vector b = vector 0

⇒ i(–9 – 3λ) + k(2λ + 6) = vector 0

⇒ λ = – 3.

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If vector a = 2i – j + 3k and vector b = (6i +λj +9k) and vector a || vector b, find the value of λ.

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