If a⃗, b⃗, c⃗ are any three coplanar unit vectors, then (1) a⃗·(b⃗×c⃗)=1 (2) a⃗·(b⃗×c⃗)=3 (3) (a⃗...

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For any three vectors a⃗, b⃗, c⃗, show that a⃗-b⃗, b⃗-c⃗, c⃗-a⃗ are coplanar. For any three vectors a⃗, b⃗, c⃗, show that a⃗-b⃗, b⃗-c⃗, c⃗-a⃗ are coplanar.
If a⃗, b⃗ and c⃗ are three mutually orthogonal unit vectors, then the triple product [a⃗+b⃗+c⃗a⃗+... If a⃗, b⃗ and c⃗ are three mutually orthogonal unit vectors, then the triple product [a⃗+b⃗+c⃗a⃗+...
The magnitude of vectors A⃗, B⃗ and C⃗ are 3,4 and 5 units respectively. If A⃗+B⃗=C⃗, the angle b... The magnitude of vectors A⃗, B⃗ and C⃗ are 3,4 and 5 units respectively. If A⃗+B⃗=C⃗, the angle b...
Let a⃗, b⃗ and c⃗ be unit vectors such that a⃗+b⃗-c⃗=0. If the area of triangle formed by vectors... Let a⃗, b⃗ and c⃗ be unit vectors such that a⃗+b⃗-c⃗=0. If the area of triangle formed by vectors...
Let a⃗, b⃗ and c⃗ be three non-coplanar vectors and r⃗ be any arbitrary vector. Then (a⃗×b⃗) ×(r⃗... Let a⃗, b⃗ and c⃗ be three non-coplanar vectors and r⃗ be any arbitrary vector. Then (a⃗×b⃗) ×(r⃗...
\( \vec{a}, \vec{b} \) and \( \vec{c} \) are three coplanar unit ve... \( \vec{a}, \vec{b} \) and \( \vec{c} \) are three coplanar unit ve...
Let a⃗, b⃗, and c⃗ be three non-coplanar unit vectors such that the angle between every pair of t... Let a⃗, b⃗, and c⃗ be three non-coplanar unit vectors such that the angle between every pair of t...
The volume of a tetrahedron formed by the coterminus edges a⃗, b⃗ and c⃗ is 3 . Then the volume o... The volume of a tetrahedron formed by the coterminus edges a⃗, b⃗ and c⃗ is 3 . Then the volume o...