Can the numbers `1/2,-1/sqrt2, -1/2` be the direction cosines of a straight line? Give reason.

Can the numbers 1/2, -1/sqrt(2), 1/2 be the direction cosines of a straight line?

Define : Direction cosines of a straight line,

Can the numbers 1, 2, 3 be the direction cosines of a straight line?

Can the numbers 1,2,3 be the direction ratio of a straight line? Give reason.

Can the numbers 1, 2, 3 be the direction ratios of a straight line?

Write the direction cosines of the line 6x-2=3y+1=2z-4 .

If l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) are direction cosines of two mutually perpendicular straight lines, then prove that the direction cosines of the straight line which is perpendicular to both the given lines are pm (m_(1)n_(2)-m_(2)n_(1)), pm (n_(1)l_(2)-n_(2)l_(1)), pm (l_(1)m_(2)-l_(2)m_(1))

A straight line in the xy-plane makes an angle pi/4 with y-axis. Find the direction cosines of the straight line.

If the equation of a straight line is 6x-2=3y+1=2z-2 , then direction cosines of the line are -

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.