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प्रश्न
Write unit vector in the opposite direction to `baru = 8hati + 3hatj - hatk`.
योग
उत्तर
The magnitude of `baru` is given by:
`|baru| = sqrt(8^2+3^2+(-1)^2)`
`= sqrt(64+9+1)`
`=sqrt74`
The unit vector in the direction of `baru` is:
`hatu = baru/|baru|`
`= (8hati+3hatj-hatk)/sqrt74`
`= 8/sqrt74 hati + 3/sqrt74 hatj - 1/sqrt74 hatk`
To find the unit vector in the opposite direction, multiply by −1:
`=-(8/sqrt74 hati + 3/sqrt74 hatj - 1/sqrt74 hatk)`
`= (-8)/sqrt74 hati + (-3)/sqrt74hatj - 1/sqrt74 hatk`
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