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.

IF O be the origin and OP makes angles 45^0 and 60^0 with the positive directionof x and y-axes respectively and OP=12 units find the coordinates of P.

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 O be the origin and OP=r and OP makes an angle theta with the positive direction of x-axis and lies in the XY plane find the coordinates of P.

Find the equation of a line through the origin which makes an angle of 45^0 with the positive direction of x-axis.

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 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 makes angles of 45^(@) and 60^(@) with the positive axes of X and Y respectively. The angle made by the same line with the positive axis of Z is

Let, P be a point in space such that |vec(OP)|= sqrt3 and vec(OP) makes angles pi/3,pi/4,pi/3 with positive direction of x, y and z axes respectively. Find co-ordinates of point. -

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.