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Let θ be the angle between two unit vectors â and b̂ such that sin θ = 3/5. Then, â . b̂ is equal to :
If the direction cosines of a line are √3 k, √3 k, √3 k, then the value of k is :
Assertion (A) : A line in space cannot be drawn perpendicular to x, y and z axes simultaneously. Reason (R) : For any line making angles, α, β, γ with the positive directions of x, y and z axes respectively, cos² α + cos² β + cos² γ = 1.
The unit vector perpendicular to both vectors î + k̂ and î – k̂ is :
If a line makes an angle of 30° with the positive direction of x-axis, 120° with the positive direction of y-axis, then the angle which it makes with the positive direction of z-axis is :
If α, β and γ are the angles which a line makes with positive directions of x, y and z axes respectively, then which of the following is not true?
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