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Express the veca=5hati-2hatj+5hatk as su...

Express the `veca=5hati-2hatj+5hatk` as sum of two vectors such that one is parallel to the vector `vecb=3hati+hatk` and other is perpendicular to `vecb`.

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The correct Answer is:
`6hati+2hatk,-hati+hatj+3hatk`
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If veca=5hati-hatj-3hatkandvecb=hati+3hatj-5hatk then show that the vectors veca+vecb and veca-vecb are orthongal (perpendicular).

If veca=4hati-hatj+hatk and vecb= 2hati-2hatj+hatk , then find a unit vector parallel to the vector veca + vecb .

Show that vectors vecA= 3hati+ hatj+ hatk and vecB= hati+ 2hatj- 5hatk are perpendicular to each other.

IF veca=2hati-hatj+2hatk and vecb=6hati+2hatj+3hatk , find a unit vector parallel to veca+vecb .

The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb=hati+2hatj+hatk is :

The number of vectors of unit length perpendicular to the vectors veca=2hati+hatj+2hatk and vecb=hatj+hatk is

Find p if vectors veca=2hati-hatj+phatk and vecb=hati-2hatj+hatk are perpendicular.

If veca=5hati-hatj-3hatk and vecb=hati+3hatj-5hatk , then show that the vectors (veca+vecb) and (veca-vecb) are perpendicular.

If veca=3hati-hatj+2hatk and vecb=-hati-2hatj+4hatk , find a unit vector along the vector (veca+vecb) .

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 .

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Write the projection of the vector 7hati+hatj+4hatk on the vector 2hat...

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

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  3. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

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  4. Show that the point whose position vectors are veca=4hati-3hatj+hatk,v...

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  5. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  6. If a unit vector veca makes angle (pi)/(4) with hati , (pi)/(3) with ...

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

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  8. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

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  9. If veca+vecb+vecc=vec0 and |veca|=3,|vecb|=5,|vecc|=7, show that the a...

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  10. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  11. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  12. If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and...

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  13. If with reference to the right handed system of mutually perpendicular...

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  14. Using vectors, prove that a parallelogram whose diagonals are equal is...

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  15. For any vector veca the value of (vecaxxhati)^(2)+(vecaxxhatj)^(2)+(ve...

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  16. Find a unit vector perpendicular to the plane of triangle ABC where th...

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  17. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

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  18. Find a vector of magnitude sqrt(171), which is perpendicular to both o...

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  19. Find a vector of magnitude 5 units, perpendicular to each of the vecto...

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  20. Find the area of a parallelogram whose adjacent sides are represented ...

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