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The two adjacent sides of a parallelogra...

The two adjacent sides of a parallelogram are '2 hati-4 hatj+5 hatk' and 'hati .-2 hatj-3 hatk .' Find the unit vector parallel to its diagonal. Also find its,area.

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Show that the area of the parallelogram having diagonals 3hati+hatj-2hatk and hati-3hatj+4hatk is 5sqrt3

Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hatj+hatk

i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk , find the unit vector along veca .

if veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk and vecc=hati-2 hatj+hatk , find a unit vector parallel to the vector 2 veca-vecb+3 vecc

Show that the vectors 2 hati-3 hatj+4 hatk and -4 hati + 6 hatj-8 hatk are collinear.

Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5 hatk and vecb=hati+2 hatj+3 hatk

For given vectors, veca=2 hati-hatj+2 hatk and vecb=-hati+hatj-hatk , find the unit vector in the direction of the vectors veca+vecb

Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk . Find veca.vecb

Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk Find the unit vector in the direction of (veca+vecb)/2

Let veca=2hati-4hatj+5hatk and vecb=hati-2hatj-8hatk be two vectors Find the projection of veca on vecb .

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

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  2. Find the position vector of a point R which divides the line joining t...

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  3. The two adjacent sides of a parallelogram are '2 hati-4 hatj+5 hatk' a...

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  4. Show that the direction cosines of a vector equally inclined to the ax...

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

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

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

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  8. Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...

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  9. Choose the correct answer. If theta is the angle between two vectors v...

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  10. Let 'veca' and 'vecb' be two unit vectors and 'theta' is the angle bet...

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  11. The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hat...

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  12. If theta is the angle between any two vectors veca and vecb, then |vec...

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  13. Prove that the Iine joining the midpoints of the two sides of a triang...

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  14. Find the projection of vector hati-hatj on the vector hati+hatj

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  15. Show that the line segment joining the midpoints of two 'sides of a t...

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  16. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

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  17. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

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  18. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

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  19. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

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  20. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

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