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AP EAMCET · Maths · Three Dimensional Geometry

If the projections of the line segment AB on XY, YZ and ZX planes are 15,46,7 respectively, then the projection of AB on y-axis is

  1. A 9
  2. B 1
  3. C 4
  4. D 7
Verified Solution

Answer & Solution

Correct Answer

(B) 1

Step-by-step Solution

Detailed explanation

Let, the vector AB→=li^+mj^+nk^ Projection on XY plane is l2+m2=15 ⇒ l2+m2=15  ...1 Projection on YZ plane is m2+n2=46 ⇒ m2+n2=46  ...2 Projection on ZX plane is n2+l2=7⇒n2+l2=49  ...3 Subtracting equation…