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If a=2hati-hatj+2hatk and b=-hati+hatj-h...

If `a=2hati-hatj+2hatk and b=-hati+hatj-hatk`, then find a+b. also, find a unit vector along a+b.

Text Solution

Verified by Experts

The correct Answer is:
`hati+hatk;(1)/(sqrt(2))hati+(1)/(sqrt(2))hatk`
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If veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk find veca+vecb. Also find as unity vector along veci+vecb .

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Knowledge Check

  • If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj , then the unit vector along its resultant is

    A
    `3hati+5hatj+4hatk`
    B
    `(3hati+5hatj+4hatk)/(50)`
    C
    `(3hati+5hatj+4hatk)/(5sqrt(2))`
    D
    none of these

  • If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle between the vectors a + b and a - b is

    A
    `60^@`
    B
    `90^@`
    C
    `45^@`
    D
    `55^@`

  • If a = hati + hatj - hatk , b = hati - hatj + hatk and hatc is a unit vector perpendicular to a and coplanar with a and b , then c is equal to

    A
    `1/sqrt2 (hatj + hatk)`
    B
    `1/sqrt2 (hatj - hatk)`
    C
    `1/sqrt6 (hati - 2hatj + hatk)`
    D
    `1/sqrt6 (2hati - hatj + hatk)`

    • Similar Questions

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    Determine the angel between the vectors hati+2hatj+hatk and 3hati+hatj-hatk . Also find the unit vector perpendicular to each of the two vectors.

    Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

    If a=hati+hatj+hatk,b=hati+hatj-hatk , then vectors perpendicular to a and b is/are

    If three vectors a=hati+hatj - hatk, b=-hati +2hatj + hatk and c = - hati +2hatj - hatk , then the unit vector perpendicular to both a + b and b + c , is

    Three vectors a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk , then the unit vector perpendicular to both a+b and b+c is

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