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What vector must be added to the sum of ...

What vector must be added to the sum of two vectors `2hat(i)-hat(j)+3hat(k)and3hat(i)-2hat(j)-2hat(k).` So that the resultant is a unit vector alongZ-axis?

A

`5hat(i)+hat(k)`

B

`-5hat(i)+3hat(j)`

C

`3hat(j)+5hat(k)`

D

`-3hat(j)+2hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `A=2hat(i)-hat(j)+3hat(k)andB+3hat(i)-2hat(j)-2hat(k)`
Resultant, `R=hat(k)=A+B+C`
`hat(k)=(2hat(i)-hat(j)+3hat(k))+(3hat(i)-2hat(j)-2hat(k))=C`
`hat(k)+5hat(j)-3hat(j)+hat(k)+C`
`C+-5hat(i)+3hat(j)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 1
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  10. When A.B =-|A||B|, then

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

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

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

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

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

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

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  19. What is the value of linear velocity, if vec(omega) = 3hat(i)-4 hat(j)...

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