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Two sides of a triangle are given by hat...

Two sides of a triangle are given by `hati+hatj+hatk` and `-hati+2htj+3hatk`, then area of triangle is

A

`sqrt(26)`

B

`sqrt(26)//2`

C

`sqrt(46)`

D

26

Text Solution

Verified by Experts

The correct Answer is:
B
Area of triangle `=(1)/(2)|vecAxxvecB|`
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NARAYNA-VECTORS-LEVEL-I (H.W)
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  2. The direction consines of a vector vecA are cos alpha=(4)/(5sqrt(2)), ...

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  3. Given two vectors vecA=hati-2hatj-3hatk and vecB=4hati-2hatj+6hatk. Th...

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  4. To go from town A to town B a plane must fly about 1780 km at an angle...

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  5. A vector hati+sqrt(3)hatj rotates about its tail through an angle 60^(...

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  6. If veca=2hati+6hatj+mhatk and vecb=nhati+18hatj+3hatk are parallel to ...

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  7. A particle has an initial velocity (6hati+8hatj) ms^(-1) and an accele...

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  8. A motor boat is going in a river with a velocity vec(V) = (4 hat i-2 h...

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  9. The angle between the two vectors -2hati+3hatj-hatk and hati+2hatj+4ha...

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  10. If a vector vecA=2hati=2hatj+3hatk, and vecB=3hati=6hatj+nhatk, are pe...

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  11. A vector parallel to the vector (hati+2hatj) and having magnitude 3sqr...

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  12. If vecA=5hati-2hatj+3hatk and vecB=2hati+hatj+2hatk, component of vecB...

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  13. If the vectors vecA=ahati+hatj-2hatk and vecB=ahati-ahatj+hatk are per...

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  14. When a force (8hati+4hatj) newton displaces a particle through (3hati-...

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  15. If veca and vecb are two unit vectors and the angle between them is 60...

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  16. If vecF=2hati+3hatj-hatk and vecr=hati-hatj+6hatk find vecrxxvecF

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  17. Two sides of a triangle are given by hati+hatj+hatk and -hati+2htj+3ha...

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  18. The magnitude of scalar and vector products of two vectors are 144 and...

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  19. Area of a parallelogram formed by vectors (3hati-2hatj+hatk)m and (hat...

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  20. Find the value of x and y for which vectors vecA=6hati+xhatj-2hatk and...

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