Q. 3

# Mark against the correct answer in each of the following:The length of perpendicular from the origin to the plane isA. 3 unitsB. unitsC. unitsD. None of these

Given: Equation of plane is

Formula Used: Equation of a plane is where is the unit vector normal to the plane, represents a point on the plane and is the distance of the plane from the origin.

Explanation:

Given equation is … (1)

Now,

= 13

Dividing (1) by 13 and multiplying by -1,

which is of the form

Therefore, length of perpendicular from origin to plane is 3 units.

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Find the coordinate of the point P where the line through and crosses the plane passing through three points and Also, find the ratio in which P divides the line segment AB.

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