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Dot or saclar product of the vectors ve...

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

A

-8

B

6

C

12

D

13

Text Solution

Verified by Experts

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

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

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

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

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

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

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  6. Angular momentum is

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

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

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

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

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

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

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

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

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

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

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

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  18. The length of second hand in a watch is 1 cm. The change in velocity o...

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  19. A car moves 30m/north, then 20 m east, then 30sqrt2 m south west. his ...

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  20. In going from one city to another a car travels-75 km north, 60 km nor...

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