Q. 295.0( 1 Vote )

Find the vector e

Answer :

The given points are A (3, –1, 2), B (5, 2, 4) and C (–1, –1, 6). Equation of any plane passing through A,


a(x-3)+b(y+1) + c(z-2) = 0


This plane passes through B and C as well so,


2a+3b+2c = 0 and


-4a+0b+4c =0


Solving these equations, we get,





Equation of the required plane,


3(x-3) -4(y+1) + 3(z-2) = 0


3x – 4y + 3z – 19 =0 ….(1)


In vector form,



Now, distance of P(6, 5, 9) from (1),




Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the equationMathematics - Board Papers

Find the equationMathematics - Board Papers

Find the length oMathematics - Board Papers

Find the coordinaMathematics - Board Papers

Find the equationMathematics - Board Papers

Show that the linMathematics - Board Papers