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Find the vector that must be added to th...

Find the vector that must be added to the vector `hat(i)-3hat(j)+2hat(k)` and `3hat(i)+6hat(j)-7hat(k)` so that the resultant vector is a unit vector along the y-axis.

A

`-4hat(i)-2hat(j)+5hat(k)`

B

`-4hat(i)+2hat(j)+5hat(k)`

C

`4hat(i)-2hat(j)+5hat(k)`

D

`4hat(i)-2hat(j)-5hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `(hat(i)-3hat(j)+2hat(k))+(3hat(i)+6hat(j)-7hat(k))+r=hat(j)`
`rArr r=-4hat (i)-2hat(j)+5hat(k)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 1
  1. Which of the following represents a unit vector ?

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  2. The unit vector along hat(i)+hat(j) is

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  3. Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...

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  4. The magnitude of hat(i)+hat(j) is

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  5. A vector multiplied by the number 0, results into

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  6. What happens, when we multiply a vector by (-2)

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  7. vecA + vecB can also be written as

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  8. If P+Q=0. Then which of the following is necessarily ture?

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  9. Two vector having magnitude 8 and 10 can maximum and minium value of m...

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  10. vec(P)+vec(Q) is a unit vector along x-axis. If vec(P)= hat(i)-hat(j)+...

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  11. For the resultant of two vectors to be maximum , what must be the ...

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  12. What are minmum number or unequal fores whose vector sum is zero ?

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

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  14. 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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  15. if P+Q+P-Q ,then

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

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

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

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

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

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