Find the direction cosines of the sides of the triangle whose vertices are
Question : Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).…
how to Show that the (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear points
Question : Show that the (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear points. Solution : To Show that the points (2, 3, 4), (–…
If a line has the direction ratios –18, 12, – 4, then what are its direction cosines
Question : If a line has the direction ratios –18, 12, – 4, then what are its direction cosines ? Solution ; If a line has the direction ratios a,…
how do you Find the direction cosines of a line which makes equal angles with the coordinate axes.
Question : Find the direction cosines of a line which makes equal angles with the coordinate axes. Solution : If a line makes angles α , β , γ with…
If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines
Question : If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines. Solution: If a line makes angles α , β…
solved If the straight line y = mx lies outside the circle x^2+y^2-20y+90=0 then the value of m will satisfy
Question : If the straight line y = mx lies outside the circle x^2+y^2-20y+90=0 then the value of m will satisfy Solution : If the straight line y = mx…
How to find intersection points of two planes
Question : Find intersection points of two planes 3x-y+2z-4=0 , 9x-7y+z+2=0 Solution : Given equations of two planes 3x-y+2z-4=0 3x-y+2z=4 (1) and 9x-7y+z+2=0 9x-7y+z=-2 (2) Writing equations (1) and (2)…