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

The unit vector along `hat(i)+hat(j)` is

A

`hat(k)`

B

`hat(i)+hat(j)`

C

`(hat(i)+hat(j))/(sqrt(2))`

D

`(hat(i)+hat(j))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`LetA=hat(i)+hat(j)`
`|A|=sqrt((1)^(2)+(1)^(2))=sqrt(2)`
:. Unit vector along A will be `hat(a)` given by
`hat(A)=(A)/|A|=(hat(i)+hat(j))/(sqrt(2))`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 1
  1. Unit vector does not have any

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  2. Which of the following represents a unit vector ?

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

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

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

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

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

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  8. vecA + vecB can also be written as

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

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

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

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

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

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

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

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

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

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

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

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