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Statement 1 : veca = 3 veci + p vecj +3v...

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) `.

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.

Text Solution

Verified by Experts

The correct Answer is:
A
`(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.
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