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Statement I: a=hati+phatj+2hatk and b=2h...

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))`.

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

Text Solution

Verified by Experts

The correct Answer is:
A
`(1)/(2)=(p)/(3)=(2)/(q) implies p=(3)/(2) and q=4`
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Statement -1 If system of equations 2x+3y=a and bx +4y=5 has infinite solution, the a=(15)/(4),b=(8)/(5) Statement-2 Straight lines a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)==0 are parallel if a_(1)/(a_(2))=b_(1)/(b_(2))nec_(1)/c_(2)