Notes On Cross Product - CBSE Class 12 Maths

The understanding of the right handed coordinate system is essential to understand the vector or cross product of two vectors.

Given p   0 and  q 0

Let ϴ be the angle between p and q such that: 0o ϴ ≤ 180o.

Cross product of p and q is given by:

p x q =  |p | |q sin ϴ n ^

Where n ^   p and  n ^   ⊥ q

Since the cross product of two vectors is also a vector, it is also called a vector product.

If p   = 0    ,   ⇒ |p | = 0      

Similarly, if   q   = 0    ⇒ |q | = 0   

Thus, if either p or q = 0 ,

 p   x  q   = |p | |q sin ϴ   n ^ = 0

Summary

The understanding of the right handed coordinate system is essential to understand the vector or cross product of two vectors.

Given p   0 and  q 0

Let ϴ be the angle between p and q such that: 0o ϴ ≤ 180o.

Cross product of p and q is given by:

p x q =  |p | |q sin ϴ n ^

Where n ^   p and  n ^   ⊥ q

Since the cross product of two vectors is also a vector, it is also called a vector product.

If p   = 0    ,   ⇒ |p | = 0      

Similarly, if   q   = 0    ⇒ |q | = 0   

Thus, if either p or q = 0 ,

 p   x  q   = |p | |q sin ϴ   n ^ = 0

Videos

References

Previous
Next