Three Dimensions Mock Tests

The shortest distance between the lines (x − 1)/2 = (y − 2)/3 = (z − 3)/4 and (x − 2)/3 = (y − 3)/4 = (z − 5)/5 is:

The direction cosines of the line passing through points (1, -1, 2) and (3, -4, 5) are:

Two lines are said to be skew lines if they are:

The angle between the line (x−1)/3 = (y−2)/2 = (z−3)/−2 and the y-axis is:

If the lines (x−1)/2 = (y−2)/3 = (z−3)/4 and (x−4)/a = (y−5)/4 = (z−6)/8 intersect, then the value of a is:

The equation of the plane passing through (1, −1, 2) and perpendicular to the vector 2î + ĵ − 3k̂ is:

The direction cosines of the line passing through points (1, −2, 3) and (−1, 4, −2) are:

The direction cosines of the line joining points (1, −2, 3) and (−1, 4, −2) are: