Find the vector and cartesian equations of the line which is perpendicular to the lines with equations \frac{x+2}{1}=\frac{ {\y}-3}{2}=\frac{ {\z}+1}{4} \text{ and } \frac{x-1}{2}=\frac{ {\y}-2}{3}=\frac{ {\z}-3}{4} and passes through the point (1,1,1). Also find the angle between the given lines.

CBSE Class 12 Math 2020 Delhi Set 1 Solved Paper - Question 33

Section - D

Q. 33 to 36 , carry 6 marks each.

Question : 33 of 36

Marks: +1, -0

Find the vector and cartesian equations of the line which is perpendicular to the lines with equations

\;{x+2}/{1}=\;{ {\y}-3}/{2}=\;{ {\z}+1}/{4} \;\text " and "\; \;{x-1}/{2}=\;{ {\y}-2}/{3}=\;{ {\z}-3}/{4}

and passes through the point

(1,1,1)

. Also find the angle between the given lines.

Solution:

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