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If veca=hati+hatj+hatk, veca.vecb=1 and ...

If `veca=hati+hatj+hatk, veca.vecb=1` and `vecaxxvecb=hatj-hatk` then `vecb`

A

`hati - hatj + hatk`

B

`2hati - hatk`

C

`hati`

D

`2hati`

Text Solution

Verified by Experts

The correct Answer is:
c
`(veca xx vecb) xxveca = (veca.veca)vecb- (veca.vecb)veca`
`(hatj-hatk)xx (hati +hatj +hatk) = (sqrt3)^(2)vecb - (hati +hatj +hatk)`
`or 3vecb = 3hati or vecb = hati`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  2. The value of a so thast the volume of parallelpiped formed by vectors ...

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  3. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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  4. The unit vector which is orthogonal to the vector 5hatj + 2hatj + 6hat...

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  5. if veca , vecb and vecc are three non-zero, non- coplanar vectors and ...

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  6. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk and vecc= hati+hat...

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  7. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  8. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  9. Two adjacent sides of a parallelogram A B C D are given by vec A B...

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  10. Let P, Q, R and S be the points on the plane with position vectors -2h...

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  11. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

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  12. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

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  13. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

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  14. The number of vectors of unit length perpendicular to vectors vec ...

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  15. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

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  16. For three vectors vecu,vecv,vecw which of the following expressions is...

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  17. Which of the following expressions are meaningful? vec udot( vec v...

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  18. If veca and vecb are two non collinear vectors and vecuveca0(veca.vecb...

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  19. Vector 1/3 (2hati - 2hatj +hatk) is

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  20. Let vec a be vector parallel to line of intersection of planes P1 and...

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