If a line makes angle `90o`, `60o`and `30o`with the positive direction of x, y and z-axis respectively, find its direction cosines.

If a line makes angle 120^(@) and 60^(@) with the positive directions of X and Z-axes respectively, then the angle made by theline with positive Y-axis is

A line making angles 45^0 and 60^0 with the positive directions of the x and y axes respectively , makes with the positive direction of z-axis an angle of (A) 60^0 (B) 120^0 (C) 60^0 or 120^0 (D) none of these

If O be the origin and OP makes an angle of 45^0 and 60^0 with the positive direction of x and y axes respectively and OP=12 units, find the coordinates of P.

A line makes 30^(@), 120^(@) and 90^(@) angles from the positive direction of x-axis, y-axis and pi -axis respectively. Find its direction cosines.

If alpha, beta , gamma are the angles that a line makes with the positive direction of x, y, z axis, respectively, then the direction-cosines of the line are :

Find the direction cosines of x,y and z -axis.

If a line makes angles of measure 45^(@) and 60^(@) with the positive direction of the Y and Z axex respectively, then the angle made by the line with the positive directions of the X-axis is

A line make angle 60^(@) and 45^(@) with the positive direction of x-axis and y-axis repectively. What acute angle does it make with the z-axis?

(A) If a line makes angle 90^(@), 135^(@), 45^(@) with the x , y and z respectively, find its direction-cosines. (b) If a line has direction-ratio lt 2, -1, -2, gt , determine its direction-cosines.

A line makes angles of measures 45^(@) and 60^(@) with positive directions of Y-and Z-axes respectively. Find the d.c.s. of the line and also find the vector of magnitude 5 along the direction of line.