Statement I: `a=hati+phatj+2hatk and b=2hati+3hatj+qhatk` are parallel vectors, iff `p=(3)/(2) and q=4`.
Statement II: `a=a_(1)hati+a_(2)hatj+a_(3)hatk and b=b_(1)hati+b_(2)hatj+b_(3)hatk` are parallel `(a_(1))/(b_(1))=(a_(2))/(b_(2))=(a_(3))/(b_(3))`.

Options

A. Both Statement I and Statement II are correct and statement II is the correct explanation of statement I
B. Both statement I and statement II are correct but statement II is not the correct explanation of statement I
C. Statement I is correct but statement II is incorrect
D. Statement II is correct but statement I is incorrect

Answer

A

Explanation

`(1)/(2)=(p)/(3)=(2)/(q) implies p=(3)/(2) and q=4`