## 1. Vector or Cross Product of two vectors.

Note :

(a). Interval

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

(c). The vector product of any vector.

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

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

(f). If cross product of two vectors.

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

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

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

3. Angle between two vectors.

Note :

4. Expression for Sinθ .

5. Vector Area :

(a). Area of the parallelogram.

(b). Vector area of the parallelogram.

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

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

(e). Position vector of vertices of triangle.

(f). Three points are collinear.

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

6. Properties of vector product.

7. Moment of a force.

8. Application of Vectors.

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