Resolution of  Vector

 Length of the vector (vl) Angle with the component A  along which it shall be resolved (k in degree) Find out component A length component B length ⊥ to A Angle the vector makes with component A (ka in degree) : B*sink / (A + B*cosk) Angle the vector makes with component B  (kb in degree) Vector OA⃗ i + j + k Vector OB i + j + k Vector OC i + j + k Vector AB⃗ i + j + k Vector BC i + j + k Vector AC i + j + k AB x BC i j k BC x AC i j k AB x AC i j k length of AB length of BC length of AC area vector of triangle ABC Δ- (ABxBC +BCxAC +AB*AC) /2; ( AB,BC,AC represent vectors not lengths) i j k Unit Vector ⊥ to the surface of the triangle ABC i j k area  of triangle ABC Δ : Find Out Determinant (ABC) (a11) (a12) (a13) (a21) (a22) (a23) (a31) (a32) (a33) Value of the determinant (ABC) length of OA length of OB length of OC Angle between OA & OB (in degree) Angle between OA & OC (in degree) Angle between OB & OC (in degree) Are the vectors co-planar ? co-efficient of Vector OB (x) co-efficient of Vector OC (y) Component of OA along OB (Resolution) i + j + k Length of OA along OB (AB) Component of OA along OC (Resolution) i + j + k Length of OA   along OC (AC) Length of OA * If  the 3 vectors are coplanar, then matrix ABC =0 and any vector can be expressed as a linear combination of other 2 vectors * Any vector can be resolved into 2 components along any other 2 vectors ( not necessarily perpendicular to each other) provided all the 3 vectors are coplanar.