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Write down a unit vector in XY-plane, ma...

Write down a unit vector in XY-plane, making an angle of `30^(@)` with the positive direction of x-axis.

Text Solution

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The correct Answer is:
`(sqrt(3))/(2)hati+(1)/(2)hatj`
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Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^(@) with positive direction of the x-axis.

A straight line passing through A (-2,1) , makes an angle of 30^(@) with the positive direction of the X-axis. Find the points on the straight line whose distance from A is 4 units.

Knowledge Check

  • Equation of straight line which is 10 units from origin and normal ray from origin to the line makes an angle of 135^(@) with positive direction of x-axis in anti clock direction is

    A
    `x+y=10sqrt(2)`
    B
    `x-y+10sqrt(2)=0`
    C
    `x-y-10sqrt(2)=0`
    D
    `x+y+10sqrt(2)=0`

  • Angle made by the line y = x with the positive direction of X-axis is .......

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `90^(@)`
    D
    `70^(@)`

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    Find the equation of the straight line which makes and angle 60^(@) with the positive direction of x-axis and the y-intercept cut of by it is 3.

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