Statement 1 : `veca = 3 veci + p vecj +3veck and vecb = 2veci + 3vecj + qveck` are parallel vectors if `p = 9//2 and q =2`.
Statement 2 : If `veca= a_1 veci + a_2 vecj + a_3 veck and vecb = b_1 veci + b_2 vecj + b_3veck` are parallel, then `(a_1)/(b_1) = (a_2)/(b_2)= (a_3)/(b_3) `.

Options

A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1.
B. Both the statements are true, but Statement 2 is not the correct explanation for Statement 1.
C. Statement 1 is true and Statement 2 is false.
D. Statement 1 is false and Statement 2 is true.

Answer

A

Explanation

`(3)/(2) = (p)/(q) = (3)/(q) rArr p = (9)/(2) and q =2 `
Thus, both the statements are true and Statement 2 is the correct explanation for Statement 1.