Question

Prove that the vectors a vector = 4i cap +3j cap +k cap and b vector = 12 i cap + 9 j cap +3 k cap are parallel to each other

Answer 1

Answer:

Explanation:

Proof:

We know,

Parallel lines have equation a1/a2 = b1/b2 = c1/c2                (1)

Here vectors are

4i +3j + k

12i + 9j + 3k

So substituting the values in (1), we get

=>  4/12 = 3/9 = 1/3

Simplifying, we get

=> 1/3 = 1/3 = 1/3

Hence, the two vectors are parallel.