Q. 125.0( 1 Vote )

# Write the angle b

Given,

• Direction Ratios of Line1 are proportional to (1,-2,1)

• Direction Ratios of Line2 are proportional to (4,3,2)

So we can say that,

Direction ratios of line1

a1 = 1 × k , b1 = (-2) × k and c1 = 1 × k

a1 = k , b1 = -2k and c1 = k

Direction ratios of line2

a2 = 4 × p , b2 = 3 × p and c2 = 2 × p

a2 = 4p , b2 = 3p and c2 = 2p

Now, the angle between the lines with direction ratios a1, b1, c1 and a2, b2, c2 is given by

By using this formula,

cos θ = 0

θ = 90°

The angle between the lines is 90°.

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