Question

Fill in the blanks and give the name of the property.

For any three vectors u, v and w,$\mathbf{u}.(\mathbf{v}+\mathbf{w})=\mathrm{\_\_\_\_\_\_}$

Short answer

The required expression is: $\mathbf{u}.(\mathbf{v}+\mathbf{w})=\mathbf{u}.\mathbf{v}+\mathbf{u}.\mathbf{w}$; Distributive property

Step-by-step solution

Given information

Any three vectors u, v and w.

Completing the expression

The complete expression may be written as:

$\mathbf{u}.(\mathbf{v}+\mathbf{w})=\mathbf{u}.\mathbf{v}+\mathbf{u}.\mathbf{w}$

It is an example of distributive property.