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Find the volume of the parallelopiped wh...

Find the volume of the parallelopiped whose sides are given by the vectors : `11hati*2hatj*13hatk`.

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Find the volume of the parallelopiped whose sides are given by the vectors : 3hati+4hatj*2hati+3hatj+4hatk*5hatk .

Using scalar triple product, find the volume of the parallelopiped whose sides are given by the vectors 7hati-5hatj-3hatk , hati+2hatj-hatk and -3hati+7hatj+5hatk .

Using scalar triple product, find the volume of the parallelopiped whose sides are given by the vectors 2hati+3hatj+4hatk , hati+2hatj-hatk and 3hati-hatj+2hatk .

Using scalar triple product, find the volume of the parallelopiped whose sides are given by the vectors -4hati-6hatj-2hatk , -hati+4hatj+3hatk and -8hati-hatj+3hatk .

Find the area of the parallelogram whose adjacent sides are given by the vectors veca=2hati+hatj+hatk and vecb=hati+3hatj-2hatk

Find the area of parallelogram whose adjacent sides are given by the vectors : veca=2hati-hatj+3hatk and vecb=hati+hatj-2hatk .

MODERN PUBLICATION-VECTORS-Exercise
  1. Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...

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  2. Show that the four points having position vectors 6hati-7hatj,16hati-1...

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  3. Find the volume of the parallelopiped whose sides are given by the vec...

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  4. Find the volume of the parallelopiped whose sides are given by the vec...

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  5. Let veca=hati+hatj+hatk, vecb=hati and vecc=c1hati+c2hatj+c3hatk. Then...

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  6. Find the volume of the parallelopiped with coteminous edges AB,AC and ...

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  7. Prove that for any two vectors veca and vecb,veca*(vecaxxvecb)=0. Is v...

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  8. If veca,vecb,vecc are perpendicular to each other, prove that [veca....

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  9. What can you conclude about four non-zero vectors veca,vecb,vecc and v...

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  10. Simplify : (vecb+vecc)*{(vecc+veca)xx(veca+vecb)}.

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  11. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

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  12. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

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  13. Simplify : {(vecb-vecc)xx(vecc-veca)}odot(veca-vecb)

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  14. Simplify : [veca-vecb,vecb-vecc,vecc-veca].

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  15. For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vec...

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  16. If veca*vecbxxvec=0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(b'...

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  17. If veca*vecb*vecc not= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), v...

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  18. If veca*vecbxxvecc= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(...

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  19. Represent graphically a displacement of 40 km, 30^o east of north.

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  20. Classify the following measure as scalar and vector: 10 Kg

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