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A=2hat(i)+hat(j),B+3hat(j)-hat(k)and C=6...

`A=2hat(i)+hat(j),B+3hat(j)-hat(k)and C=6hat(i)-2hat(k)` Value of `A-2B+3C` would be

A

`20hat(i)+5hat(j)+4hat(j)`

B

`20hat(i)-5hat(j)-4hat(k)`

C

`4hat(i)+5hat(j)+20hat(k)`

D

`5hat(i)+4hat(j)+10hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
(b)`A=2hat(i)+hat(j),B=3hat(j)-hat(k)andC=6hat(i)-2hat(k),`
`A-2B+3C=(2hat(i)+hat(j))-2(3hat(j)-hat(k))+3(6hat(i)-2hat(k))`
`=2hat(i)+hat(j)-6hat(j)+2hat(k)+18hat(i)-6hat(k)`
`=20hat(i)-5hat(j)-4hat(k)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 1
  1. What are minmum number or unequal fores whose vector sum is zero ?

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  2. Given that P+Q+R=0. Which of the following statement is true?

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  3. A=2hat(i)+hat(j),B+3hat(j)-hat(k)and C=6hat(i)-2hat(k) Value of A-2B+3...

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  4. if P+Q+P-Q ,then

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  5. What vector must be added to the sum of two vectors 2hat(i)-hat(j)+3ha...

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  6. If |A|=2 and |B|=4 and angle between then is 60^(@) then |A-B|

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  7. If A and B are two vectors such that |A+B|=2|A-B|. The angle between v...

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  8. At what angle should the two forces 2P and sqrt(2P) and Psqrt(2)P act...

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  9. Three forces acting on a boby are shown in the figure. To have the re...

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  10. Three vector A,B and C satisfy the relation A.B=0 and A. C =0. Then t...

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  11. what is the dot product of two vectors of magnitudes 3 and 5,if angle ...

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  12. When A.B =-|A||B|, then

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  13. The condition (a.b)^(2)=a^(2)b^(2) is satisfied when

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  14. The modulus of the vector product of two vectors is (1)/(sqrt(30)) tim...

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  15. In a clockwise system,

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  16. If |AxxB| = sqrt3 A.B, then the value of |A+B| is

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  17. If |A|=2,|B|=5 and |AxxB|=8. Angle between A and B is acute, then (A....

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  18. Find the torque of a force F=-3hat(i)+2hat(j)+hat(k) acting at the po...

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  19. What is the unit vector perpendicular to the following Vector 2hat(i)+...

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  20. If AxxB=BxxA then the angle between A and B is

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