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Write unit vector in the direction of th...

Write unit vector in the direction of the sum of vectors
`veca=2hati+2hatj-5hatk and vecb=2hati+hatj-7hatk`

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Verified by Experts

The correct Answer is:
`(1)/(13)(4hati+3hatj-12hatk)`
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Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

Find the unit vector in the direction of the vector veca=hati+hatj+hatk

Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+hatk and 'vecb=2hati+hatj-3hatk'

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

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

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 .

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Find a unit vector in the direction of following vectors -2hati+hatj...

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

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

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

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

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

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

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

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

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

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

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

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  13. Find the value of 'p' for which the vector 3hati+2hatj+9hatk and hati-...

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  14. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

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  15. Show that points A(-2,1),B(-5,-1) and C(1,3) are collinear.

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  16. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

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  17. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  18. Find the position vector of mid point of the line segment AB where A i...

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

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

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