Question

The two vectors A and B that are parallel to each other are: A B (A) A = 3 + 69 + 9 B = i + 29 + 3k (B) À – 3 – 69 + 9 B-î + 2ſ +3ť (C) A = 2^ + 3ỉ + 3k B = î + 29 – 3Â (D) A = 2 + 69 - † B = î - 2 – 3k​

Answer 1

Answer:

In general , Two vectors are parallel if A⃗ = λB⃗

Where λ is a scalar.

Let us write this condition in terms of the components of the vectors A⃗ and B⃗

Let A⃗ = xi^+yj^+zk^

Let B⃗ =pi^+qj^+rk^

Now the condition A⃗ =λB⃗ implies that :

x=λp

y=λq

z=λr

So xp=yq=zr=λ

Thus For two vectors to be parallel , the components of the vector should be proportional.

Given that a⃗ =3i^+6j^+9k^

b⃗ =i^+2j^+3k^

Now evaluate the ratio of the corresponding components of the two vectors. Thus we get :

31=62=93=3

So :

a⃗ =3b⃗

That's it. Thanks for asking.