Let `alpha,beta,gamma`be the angle made by a line with the positive direction of the X,Y,Z axes respectively.(i) Write the direction cosines of the line.

Write all the direction cosines of x-axis.

Write the direction ratios of the line x=2y=3z.

Suppose alpha, beta, gamma are the angles made a line with the three axes respectively. Fill in the blank by choosing the correct answer from the barcket cos^2alpha+cos^2beta+cos^2gamma = ….. (2,0,1,3)

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

Consider the cartesian equation of the line (x-5)/3=(y+4)/7=(z-6)/2 Write the direction ratios of the line.

Consider the equation of the line 3x+4=4y-1=1-4z.(i) Find the direction ratios of this line.

Suppose a line cuts off intercept 4 on the x-axis and the line makes angle 60^@ with the positive direction of the x-axis. Find the slope of the line. Hence find the equation of the line.

Suppose a line cuts off intercept 4 on the x-axis and the line makes angle 60^@ with the positive direction of the x-axis. Find the co-ordinates of a point on the line