Q. 7
If the plane 2x – 3y – 6z = 13 makes an angle sin - 1 (λ) with the x - axis, then find the value of λ.
Answer :
Given - 
and 
To find – The angle between the line and the plane
Direction ratios of the line = (1, 0, 0)
Direction ratios of the normal of the plane = (2, - 3, - 6)
Formula to be used – If (a, b, c) be the direction ratios of a line and (a’, b’, c’) be the direction ratios of the normal to the plane, then, the angle between the two is given by 
The angle between the line and the plane
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If lines 
and 
intersect, then find the value of k and hence find the equation of the plane containing these lines.
Find the coordinates of the point where the line through the points A(3, 4, 1) and B(5, 1, 6) crosses the XZ plane. Also find the angle which this line makes with the XZ plane.
Mathematics - Board PapersState True or False for the statements
The angle between the line
and the plane
is 
.
The sine of the angle between the straight line
and the plane 2x – 2y + z = 5 is
The plane 2x – 3y + 6z – 11 = 0 makes an angle sin–1(α) with x-axis. The valueof α is equal to
Mathematics - ExemplarMark against the correct answer in each of the following:
The angle between the line 
and the plane 2x – 3y + z = 5 is
RS Aggarwal - Mathematics
Mark against the correct answer in each of the following:
The angle between the line 
and the plane 
is
RS Aggarwal - Mathematics
