The unit vector in the direction of r̂ = 2î + ĵ − k̂ is:
The magnitude of a × b represents the ______ of a parallelogram with adjacent sides a and b.
The volume of the tetrahedron determined by vectors →a, →b, and →c is:
If →a and →b are parallel then →a · →b =
If three vectors →a, →b, and →c are coplanar, then [→a, →b, →c] =
Direction cosines of the vector î + ĵ − k̂:
→a × →b is ______ to the plane of →a and →b:
If →a = P₁P₂, where P₁(0, 0, 1) and P₂(−3, 1, 2), then |→a| =
If →p = 4î + 6k̂ and →q = 6î − 4ĵ, then |→p − →q| is:
For non-zero vectors →a and →b, →a × →b is a unit vector and |→a| = |→b| = √2, then the angle θ between →a and →b is:
Magnitude of a vector →a = 3î − ĵ + 2k̂ is:
The position vector of the point (1, 0, 2) is:
If O is the origin and OP = 2î + 3ĵ − 4k̂ and OQ = 5î + 4ĵ − 3k̂, then PQ is equal to:
If |→a × →b| = |→a · →b| then the angle between →a and →b is:
The distance of the point (−3, 4, 5) from the origin is:
The vector having initial and terminal points (2, 5, 0) and (−3, 7, 4) respectively is:
If |→a| = 10, |→b| = 2 and →a · →b = 0 then |→a × →b| is:
The number of unit vectors perpendicular to the plane of vectors →a = 2î + ĵ + 2k̂ and →b = ĵ + k̂ is:
