Skew lines, Dist between parallel planes, Vector concepts in 3D

Skew lines| Dist between parallel planes| Vector concepts in 3D

Shortest distance between two parallel lines in vector + cartesian form

The angle between parallel vectors is

Distance OF point from the line || Distance between two parallel lines || Distance between two skew line || Illustration on cross product

Theorem in Plane|| Theorem in Space|| Distance Between Point & a Line|| Distance Between Parallel Lines|| Shortest Distance Between Skew Lines

Shortest distance between two skew lines in vector + cartesian form

Equation OF 3 Coplanar Vectors|| Equation OF Plane OF 2 Parallel Lines|| Intercept form OF Plane|| Perpendicular Distance OF Point from Plane & between 2 parallel planes and examples

The eqution xy+yz=0 represents (A) a pair of straighat lines (B) a pair of parallel lines (C) a pair of parallel planes (D) a pair of perpendicular planes

The equation xy+yz=0 represents (A) a pair of straight lines (B) a pair of parallel lines (C) a pair of parallel planes (D) a pair of perpendicular planes

Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n d4x-2y-z=1, respectively, then a. the line is parallel to the plane b. the line is perpendicular to the plane c. the line lies in the plane d. none of these