Home
Class 12
MATHS
The vector equation of the plane which i...

The vector equation of the plane which is at distance 8 units from origin and having normal `2hat i + hat j + 2 hat k` is........

Text Solution

Verified by Experts

The correct Answer is:
`r*2hat(i)+hat(j)+2hat(k))=24`
Promotional Banner

Similar Questions

Explore conceptually related problems

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 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.............

The vector equation of the plane containing the line vec r (-2 hat i - 3 hat + 4 hatk) + lambda (3 hat i - 2 hat j - hat k) and the point hat i + 2 hatj + 3 hat k is ..........

The co-ordinats of a point on the line passing through the pionts (1,-1,2)and (3,1,1) at a distance 3sqrt(11) units from the piont hat i - hat j + 2 hat k is .......

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

The equation of the plane with normal 2 hati + hatj -2 hat k and at distance 5 units from the origin is...........

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the equation of the plane passing through (3,4,-1), which is parallel to the plane vec rdot (2 hat i-3 hat j+5 hat k) +7=0.

The vector equation of the plane through the point (2, 1, -1) and passing through the line of intersection of the plane rcdot(hat(i)+3hat(j)-hat(k))=0 and rcdot(hat(j)+2hat(k))=0, is