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The scalar product of the vector hati+ha...

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

The scalar product of the vector hati+2hatj+2hatk with a unit vector along the sum of vectors 3hati-4hatj+6hatk and lambdahati-3hatj+4hatk is equal to one. Find the value of lambda .

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 .

Find a unit vector parallel to the sum of the vectors hati+hatj+hatk and 2hati-3hatj+5hatk .

Find the unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk .

Find the dot product of the vector 2hati+3hatj+1hatk and 1hati+2hatj+3hatk

The unit vector perpendicular to the vectors 6hati+2hatj+3hatk and 3hati-6hatj-2hatk , is

MODERN PUBLICATION-VECTORS-Exercise
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  2. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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

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

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  5. If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*ve...

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  6. If vecc is normal to veca and vecb, show that vecc is normal to veca+v...

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  7. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  8. Find the area of the parallelogram having diagonals veca+vecb and vecb...

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  9. Prove that the quadrilateral obtained by joining mid-points of adjacen...

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  10. Prove that 1/2 vec(AC)xxvec(BD) represents the vector area of the plan...

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  11. Given veca=1/7(2hati+3hatj+6hatk), vecb=1/7(3hati-6hatj+2hatk) , ve...

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  12. If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and...

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  13. Are vectors veca and -veca collinear ?

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  14. Write two different vectors having same magnitude.

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  15. What is the unit vector in the direction of veca=veci+vecj+2veck?

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  16. What is the position vector of the mid-point of the line segment joini...

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  17. The scalar product of two given vectors veca and vecb having angle 'th...

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  18. For mutually perpendicularl unit vectors hati,hatj,hatk, we have : hat...

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  19. What is the value of : hati*(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjx...

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  20. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

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