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If a unit vector is represented by 0.5ha...

If a unit vector is represented by `0.5hati + 0.8hatj + chatk` the value of c is

A

1

B

`sqrt(0.11)`

C

`sqrt(0.01)`

D

`sqrt(0.39)`

Text Solution

Verified by Experts

The correct Answer is:
2
`1= sqrt((0.5)^(2) + (0.8)^(2) + c^(2))`
`c^(2)+ 0.64+ 0.25 = 1 rArr c^(2) + 0.89 = 1`
`rArr c= sqrt(0.11)`
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Knowledge Check

  • If a unit vector is represented by 0.4 hati+0.7 hatj + chatk then the value of c is

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    D
    `sqrt(0.39)`

  • If a unit vector is represented by 0.5 hat(i) + 0.8 hat(j) + c hat(k) , then the value of c is

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    `1`
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    `sqrt(0.01)`
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