Question

Of the vectors given below, the parallel vectors are, $A = 6 \hat i + 8 \hat j$ $30mm B = 210 \hat i + 280 \hat k$ $C = 0.3 \hat i + 0.4 \hat j$ $D = 3.6 \hat i + 6 \hat j + 4.8 \hat k$

• A. A and B
• B. A and C
• C. A and D
• D. C and D

Answer 1

Answer: (B)

A and C

Answer 2

$A = 6 \hat i + 8 \hat j$ $B = 210 \hat i + 280 \hat k$ $C = 0.3 \hat i + 0.4 \hat j = \frac{1}{20} (6 \hat i + 8 \hat j)$ and \hspace30mm D = 3.6 \hat i + 6 \hat j + 4.8 \hat k Hence, it is clear that A and C are parallel and we can write as $C = \frac{1}{20} A$ This implies that A is parallel to C.