Home
Class 12
MATHS
The equation of the plane passing throug...

The equation of the plane passing through the point `hat i + 2 hat j + - hat k` and perpendicular to the intersection line of the planes `bar r . ( 3 hat i - hat j + hat k) = 1` and `bar (hat i + 4 hat j - 2 hat ) = 2 ` is.............

A

`rcdot(2hat(i)+hat(j)-13hat(k))=-1`

B

`rcdot(2hat(i)-7hat(j)-13hat(k))=1`

C

`rcdot(2hat(i)+7hat(j)+13hat(k))=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the vector equation of a line passing through 3 hat i-5 hat j+7 hat k and perpendicular to theplane 3x-4y+5z=8.

The equation of the plane passing through (4,5,-1) and with normal 3 hat i - hat j + hat k is ...........

The equation of the line passing through hat i + 3 hat j + 2 hat k and prependiccular to the lines bar (r) = (1,2,-1) +lambda (2,1,1) and bar r = (2,6,1) + mu (1,2,3) is .........

The centre of the circle given by vec r* (hat i+ 2hat j + 2hat k) = 15 and |vec r-(hat j + 2hat k)| = 4 is

The angle between the line bar r = (2 hat i - hat j + hat k) + lambda( - hat i + hat j + hat k) and the plane bar. (3 hat i + 2 hat j - hat k) = 4 is...............

The distance between the line bar r = 2 hat i - 2 hat j + 3 hat k + lambda(hat i - hat j + 4 hat k) and the plane bar r. (hat i + 5 hat j + hat k) = 5 is..........

The vector equation of the plane through the point 2hat(i)-hat(j)-4hat(k) and parallel to the plane rcdot(4hat(i)-12hat(j)-3hat(k))-7=0 is

The vector equation of the line joining the pionts hat(i) - 2hat (j)+ hat k and -2 hat j + 3 hatk ........

If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersection piont of the lines bar r xx bar a = bar b xx bar a and bar r xx bar b = bar a xx bar b is .............