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AP EAMCET · Maths · Three Dimensional Geometry

The angle between a line with direction ratios 2,2,1 and the line joining the points (3,1,4) and (7,2,12) is

  1. A cos-123
  2. B cos-134
  3. C tan-1-23
  4. D cos-113
Verified Solution

Answer & Solution

Correct Answer

(A) cos-123

Step-by-step Solution

Detailed explanation

It is given that the direction ratios of first-line are 2,2,1 and the direction ratios of second-line joining the points (3,1,4) and (7,2,12) are, (7-3,2-1,12-4) (4,1,8) The angle between the two lines is, cosθ=a1a2+b1b2+c1c2a12+b12+c12a22+b22+c22…