Find the direction cosines of a vector which is equally inclined to the x - axis, y - axis and z - axis.
Let the inclination with:
x - axis =
y - axis =
z - axis =
The vector is equally inclined to the three axes.
We know that:cos2 α + cos2 β + cos2 γ = 1
⇒ cos2 α + cos2 α + cos2 α = 1 …(
⇒3 cos2 α = 1
Rate this question :
Write the direction cosines of a line equally inclined to the three coordinate axes.Mathematics - Board Papers
Find the angle between the following pair of lines:
and check whether the lines are parallel or perpendicular.Mathematics - Board Papers
Find the coordinates of the foot of perpendicular, and the perpendicular distance from the point P(4, 3, 2) to the plane Also find the image of P in the plane.Mathematics - Board Papers
Find a vector of magnitude 5√2, making an angle of with x-axis., with y-axis and an acute angle θ with z-axis.Mathematics - Board Papers
If a line makes angles 90°, 60° and θ with x, y and z-axis respectively, where θ is acute, then find θ.Mathematics - Board Papers