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Find |vec(a)xx vec(b)|, if vec(a)=hati-7...

Find `|vec(a)xx vec(b)|`, if `vec(a)=hati-7hatj+7hatk` and `vec(b)=3hati-2hatj+2hatk`.

Text Solution

Verified by Experts

The correct Answer is:
`19sqrt(2)`
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Find |vec(a)xx vec(b)| , if vec(a)=2hati+hatj+3hatk and vec(b)=3hati+5hatj-2hatk .

Find a unit perpendicular to each of the vector vec(a)+vec(b) and vec(a)-vec(b) , where vec(a)=3hati+2hatj+2hatk and vec(b)=hati+2hatj-2hatk .

Knowledge Check

  • Find the area of a parallelogram whose adjacent sides are given by the vectors vec(a)=3hati+5hatj-2hatk and vec(b)=2hati+hatj+3hatk .

    A
    `(1)/(2)sqrt(507)`
    B
    `sqrt(387)`
    C
    `sqrt(507)`
    D
    25

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    Find [vec(a)vec(b)vec( c )] if vec(a)=hati-2hatj+3hatk,vec(b)=2hati-3hatj+hatk and vec( c )=3hati+hatj-2hatk .

    Find a unit vector perpendicualr to each of the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) , where vec(a)=hati+hatj+hatk,vec(b)=hati+2hatj+3hatk .

    Find the area of the parallelogram whose adjacent sides are determined by the vectors vec(a)=hati-hatj+3hatk and vec(b)=2hati-7hatj+hatk .

    Find angle 'theta' between the vectors vec(a)=hati+hatj-hatk and vec(b)=hati-hatj+hatk .

    A vector has magnitude 5 units. It is parallel to the resultant vectors of vec(a)=2hati+3hatj-hatk and vec(b)=hati-2hatj+hatk . Find this vector.

    Let vec(a)=hati+4hatj+2hatk,vec(b)=3hati-2hatj+7hatk and vec( c )=2hati-hatj+4hatk . Find a vector vec(d) which is perpendicular to both vec(a) and vec(b) , and vec( c ).vec(d)=15 .

    Find the area of the triangle formed by the tips of the vectors vec(a) = hati - hatj - 3hatk, vec(b) = 4hati - 3hatj +hatk and vec(c) = 3 hati - hatj +2 hatk .

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