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Dot or scalar product two vectors vecA=2...

Dot or scalar product two vectors `vecA=2hati-3hatj+hatk` and `vecB=2hatj+2hatk` is

A

0

B

6

C

-4

D

13

Text Solution

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The correct Answer is:
A
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Find the scalar projection of the vector veca = 3hati+6hatj + 9hatk on vecb = 2hati+2hatj - hatk .

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Write the scalar projection of the vector veca = 2hati -hatj + hatk on the vector vecb = hati + 2hatj + 2hatk .

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Find the value of lambda so that three vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-3 hatk and vecc= 3hati +lambda vecj+5 hatk are coplanar.

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MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. Which is only vector quantity out of the following

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  2. If vecA and vecB are two vectors then the correct statement is

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  3. Dot or scalar product two vectors vecA=2hati-3hatj+hatk and vecB=2hatj...

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  4. If hatn is a unit vector in the direction of vector vecA, then

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  5. If vecA=vecB+vecC and magnitude of vecA, vecB and vecC are 5, 4 and 3...

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  6. Dot or saclar product of the vectors vecA=2hati-3hatj+hatk and vecB=3...

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  7. Let A=i A costheta+ j A sintheta ( is a vector. Another vector B is w...

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  8. The co-ordinates of a moving particle at any time t are give by x = at...

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  9. Angular momentum is

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  10. A river is flowing from west to east at a speed of 5 metres per minute...

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  11. A particle is moving eastward with a velocity of 5 m/s. In 10 seconds,...

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  12. Out of the following pairs of forces, the resultant of which cannot be...

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  13. The perpendicular of the vector vecF=4hati-3hatj is

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  14. Two vectors vecA and vecB lie in a plane, another vectorvecC lies outs...

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  15. If vecA=vecB+vecC and magnitude of vecA, vecB and vecC are 5, 4 and 3...

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  16. A force of 6 kg and another 8 kg can be applied to produce the effect ...

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  17. A vector vecA of magnitude 5sqrt3 units, another vector vecB of magnit...

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  18. The work done by a force is defined by W=vecF cdot vecS. In certain si...

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  19. Out of following set offorces the resultant which can not be zero

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  20. If abs(vec v1+vec v2)=abs(vec v1- vec v2) and vec v2 is finite thus

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