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 (x_{1}, y_{1}, z_{1}) and (x_{2}, y_{2}, z_{2}) then

a = x_{1} – x_{2}

= 1 – 3

= -2

b = y_{1} – y_{2}

= -3 –(-5)

= -3 + 5

= 2

c = z_{1} – z_{2}

= 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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