Maths-
General
Easy
Question
The acute angle made by the line joining the points 
and 
with the 
-axis is
Hint:
We are given two points. We have to find the angle made by this line with the y-axis. We will use the direction ratios and direction cosine the find the answer.
The correct answer is:
The given points are (1, -3, 2) and (3, -5, 1)
We have to find the angle it makes with y-axis.
Let the angle made by the line with the x, y and z axis be
Direction ratios: Let’s represent direction ratios as a, b and c. If the given points are (x1, y1, z1) and (x2, y2, z2) then
a = x1 – x2
= 1 – 3
= -2
b = y1 – y2
= -3 –(-5)
= -3 + 5
= 2
c = z1 – z2
= 2 – 1
= 1
Direction cosine of angle made with y axis will be given as
This is the required answer.
We should remember the formula of direction cosines of all the angles.
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