Determine whether the statement is true or false. if it is true, explain why. if it is false, explain why or give an example that disaproves the statement.
if u and v are in v3, then |u. v|< -|u|.|v|

This statement is true for any N vectorial space.

By definition u·v=|u|·|v|·cos(α), where α is the angle between u and v.

If -1≤cos(α)≤1, we can assume:

|u·v|=||u|·|v|·cos(α)|=|u|·|v|·|cos(α)|≤|u|·|v|

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy