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Find the sum of the following vectors ...

Find the sum of the following vectors
`veca=hati-2hatj,vecb=2hati-3hatj,vecc=2hati+3hatk`.

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The correct Answer is:
`5hati-5hatj+3hatk`
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Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatk and vecc=hati-6hatj-7hatk

The sum of the vectors veca=hati-3hatk, vecb=2hatj-hatk,vecc=2hati-3hatj+2hatk is 3hati-hatj-2hatk .

Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk .

Show that the vectors veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk are coplanar.

For what value of 'lambda' is the following vectors coplanar ? veca=hati+3hatj+hatk,vecb=2hati-hatj-hatk and vecc=lambda hatj+3hatk .

Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=hati-2hatj-3hatk .

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Find the magnitude of the vector hati-3hatj+4hatk.

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  2. Find the sum of the following vectors veca=hati-3hatk,vecb=2hatj-hat...

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  3. Find the sum of the following vectors veca=hati-2hatj,vecb=2hati-3ha...

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  4. Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) dir...

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  5. If vec(PQ)=3hati+2hatj-hatk and the coordinate of P are (1,-2,-2), fin...

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  6. If veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk are equal vectors....

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  7. Find a unit vector in the direction of following vectors 2hati-3hatj...

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  8. Find a unit vector in the direction of following vectors 2hati-6hatj...

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  9. Find a unit vector in the direction of following vectors -2hati+hatj...

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  10. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  11. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  12. Write a vector of magnitude 9 units in the direction of vector -2hati+...

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  13. Write a vector of magnitude 6 units in the direction of vector 2hati-h...

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  14. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  15. Find the direction cosines of the vector -2hati+hatj-5hatk.

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

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  17. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  18. Write the direction ratios of the vector r=hati-hatj+2hatk and hence c...

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  19. If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

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  20. Find the direction cosine of the line joining the points (1,0,0) and (...

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