Question

If the volume of parallelopiped with coterminous edges `4hati+5hatj+hatk, - hatj+hatk and 3hati+9hatj+phatk` is 34 cu units, then p is equal to
A. 4
B. `-13`
C. 13
D. 6

Answer 1

Correct Answer - B
Since, volume of parallelopiped `=34`
`:. |(4,5,1),(0,-1,1),(3,9,p)|=34`
`implies 4(-p-9)-5(-3)+1(3)=34`
`implies -4p-36+15+3=34`
`implies 4p=-52`
`implies p=-13`