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The scalar product of the vector veca=ha...

The scalar product of the vector `veca=hati+hatj+hatk` with a unit vector along the sum of vectors `vecb=2hati+4hatj-5hatk` and `vecc=lambdahati+2hatj+3hatk` is equal to one. Find the value of `'lambda'` and hence find the unit vector along `vecb+vecc`.

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The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of vectors 2hati+4hatj-5hatk and lambdahati+2hatj+3hatk is equal to one. Find the value of lambda .

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MODERN PUBLICATION-VECTORS-Exercise
  1. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

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  2. If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc...

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  3. The scalar product of the vector veca=hati+hatj+hatk with a unit vecto...

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  4. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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  5. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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