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|

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°