wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Is cross product distributive over dot product?


Open in App
Solution

Determine if the cross product is distributive over dot product

Cross product is the product of the magnitude of the vectors and the sine of the angle between them.

While dot product is the product of the magnitude of the vectors and the cosine of the angle between them.

Cross product, also known as vector product, is distributive across the addition of vectors such that:

a×(b+c)=a×b+a×c

Similarly, dot product or scalar product is also distributive over vector addition.

a.(b+c)=a.b+a.c

Therefore, we can say that the cross product is distributive over dot product.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dot Product
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon