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Find out the angle made by (hati+hatj) v...

Find out the angle made by `(hati+hatj)` vector from X and Y axes respectively.

Text Solution

Verified by Experts

`a=sqrt(a_(x)^(2)+a_(y)^(2))=sqrt(1^(2)+1^(2))=sqrt(2)`
`cos alpha=(a_(x))/(a)=(1)/sqrt(2) therefore alpha=45^(@)`
`cos beta=(a_(y))/(a)=(1)/sqrt(2) therefore beta=45^(@) hati+hatj` is at bisector of X and Y axes.
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Knowledge Check

  • The angle made by the vector vecA=hati+hatj with x-axis is

    A
    `90^(@)`
    B
    `45^(@)`
    C
    `22.5^(@)`
    D
    `30^(@)`
  • The angle made by the vector vecA=2hati+3hatj with Y-axis is

    A
    `tan^(-1)((3)/(2))`
    B
    `tan^(-1)((2)/(3))`
    C
    `sin^(-1)((2)/(3))`
    D
    `cos^(-1)((3)/(2))`
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