Vector or Cross Product of two Vectors Formula

1. Vector or Cross Product of two vectors.

Vector or Cross Product of two vectors

Note :

(a). Interval

Interval 

(b). Vector Product is also known as outer product.

(c). The vector product of any vector.

The vector product of any vector

(d). The vector product of two parallel vectors.

The vector product of two parallel vectors

(e). The vector product of any vector with itself.

The vector product of any vector with itself

(f). If cross product of two vectors.

If cross product of two vectors

(g). If two vectors perpendicular to each other.

If two vectors perpendicular to each other

(h). If two vectors are unit vector then –

If two vectors are unit vector then

2. Vector product of unit vectors i , j and k.

Vector product of unit vectors i , j and k

3. Angle between two vectors.

Angle between two vectors

Note :

Angle between two vectors

4. Expression for Sinθ .

Expression for Sinθ

5. Vector Area :

(a). Area of the parallelogram.

Area of the parallelogram

(b). Vector area of the parallelogram.

Vector area of the parallelogram

(c). Area of a triangle whose two adjacent sides are represented.

Area of a triangle whose two adjacent sides are represented

(d). Vector area of a triangle whose two adjacent sides are represented.

Vector area of a triangle whose two adjacent sides are represented

(e). Position vector of vertices of triangle.

Position vector of vertices of triangle

(f). Three points are collinear.

Three points are collinear

(g). Area of parallelogram in which given diagonals.

Area of parallelogram in which given diagonals

6. Properties of vector product.

Properties of vector product

7. Moment of a force.

Moment of a force

8. Application of Vectors.

Application of Vectors

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