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If veca=hati+4hatj+2hatk , vecb=3hati-2h...

If `veca=hati+4hatj+2hatk` , `vecb=3hati-2hatj+7hatk` and `vecc=2hati-hatj+4hatk` then find a vector `vecd` (which is `_|_` ar to both `veca` and `vecb`) and `vecc.vecd`=15.

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If veca=4hati+5hatj-hatk , vecb=hati-4hatj+5hatk and vecc=3hati+3hatj-hatk then find a vector vecd (which is _|_ ar to both veca and vecb ) and vecc.vecd =21.

Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4hatk . Find a vector vecd , which is perpendicular to both veca and vecb and vecc*vecd=18 .

Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4hatk . Find a vector vecd , which is perpendicular to both veca and vecb and vecd*vecc=18 .

If veca=2hati+hatj+4hatk and vecb=3hati-2hatj+hatk then veca.vecb=

MODERN PUBLICATION-VECTORS-Exercise
  1. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  2. IF veca=3hati+hatj-4hatk,vecb=6hati+5hatj-2hatk and |vecc|=3, find the...

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  3. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

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  4. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  5. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  6. If veca=hati-hatj, vecb= 3hatj-hatk and vecc=7hati-hatk. Find a vector...

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  7. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

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  8. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

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  9. Dot-product of a vector with vectors 3hati-5hatk,2hati+7hatj and hati+...

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  10. If hati+hatj+hatk, 2hati+5hatj, 3hati+2hatj-3hatk and hati-6hatj-hatk ...

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  11. If vecalpha=3hati+4hatj+5hatk and vecbeta=2hati+hatj-4hatk, then expre...

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  12. Prove that the perpendicular from the vertices to the opposite sides (...

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  13. Prove that in a right angled triangle the mid-point of the hypotenuse ...

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  14. If two medians of a triangle are equal, prove that the triangle is iso...

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  15. Which of the following statements are True or False : If the diagonals...

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  16. Prove that sum of squares of the diagonals of a parallelogram is equal...

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  17. In any DeltaABC prove by vectors that a^2=b^2+c^2-2 bc cos A.

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  18. In any DeltaABC prove by vectors that b^2=c^2+a^2-2 ca cos B.

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  19. In any triangle ABC, then by vectors, prove that : c^2=a^2+b^2-2ab cos...

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  20. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

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