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The diagonals of a parallelogram are vec...

The diagonals of a parallelogram are `vecA=2hati-3hatj+hatk` and `vecB=-2hati+4hatj-hatk` what is the area of the paralleogram?

A

4 units

B

7 units

C

`sqrt(5)` units

D

`sqrt(8)` units

Text Solution

Verified by Experts

The correct Answer is:
C
Area of parallelogram `=|vecAxxvecB|`
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NARAYNA-VECTORS-LEVEL-I (C.W)
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  9. The angle between the two vectors vecA=hati+2hatj-hatk and vecBi=-hati...

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  10. In a righht angled triangle the three vectors veca,vecb and vecc add t...

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

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  12. If vec2hati+3hatj and vecB=2hatj+3hatk the component of vecB along vec...

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  13. if the vectors P = alphahati+alphaj+3hatk and Q = alphahati - 2 hatj -...

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  14. A force of 2i+3j+2k N acts on a body for 4 and produces a displacement...

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  15. If theta is the angle between unit vectors vecA and vecB, then ((1-vec...

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  16. Find the torque of a force vecF=3hati+2hatj+hatk acting at the point v...

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  17. The area of the triangle whose adjacent sides are represented by the v...

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  18. The magnitude of scalar and vector products of two vectors are 48sqrt(...

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  19. The diagonals of a parallelogram are vecA=2hati-3hatj+hatk and vecB=-2...

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  20. Deduce the condition for the vectors 2hati + 3hatj - 4hatk and 3hati -...

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