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Find the magnitude of the vector hati-3h...

Find the magnitude of the vector `hati-3hatj+4hatk`.

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Verified by Experts

The correct Answer is:
`sqrt(26)`
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The magnitude of the vector 2hati-6hatj-3hatk is :

The magnitude of the vector 6hati+2hatj+3hatk is :

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

Find the projection of the vector hati+3hatj+7hatk on the vector 2hati-3hatj+6hatk .

Find the projection of the vector hati+3hatj+7hatk on the vector 7hati-hatj+8hatk .

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

Find the angle between the vectors : hati+hatj+hatk and hati+hatj-hatk .

Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-hatj+hatk)+3=0 .

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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