MYP Extended Mathematics Topic 11.4 Vector Operations…

The vectors $\mathbf{u} = \binom{4}{10}$ and $\mathbf{v} = \binom{x}{x+3}$ are parallel. Determine the value of .

Let $\mathbf{a}$ and $\mathbf{b}$ be vectors such that $|\mathbf{a}| = 3$ , $|\mathbf{b}| = 5$ , and . Find the cosine of the angle between vectors and .

Determine the value of $k$ such that the vectors $\mathbf{a} = \binom{4}{k}$ and $\mathbf{b} = \binom{-3}{6}$ are perpendicular.

True or False: If two non-zero vectors $\mathbf{a}$ and $\mathbf{b}$ satisfy the condition that $\mathbf{a} + \mathbf{b}$ is perpendicular to $\mathbf{a} - \mathbf{b}$ , then it must be true that $|\mathbf{a}| = |\mathbf{b}|$ .

Two non-zero vectors $\mathbf{a}$ and $\mathbf{b}$ satisfy the relationship $\mathbf{a} \cdot \mathbf{b} = |\mathbf{a}||\mathbf{b}|$ . What does this imply about the geometric relationship between the two vectors?

MYP Extended Mathematics 11.4 Vector Operations Questionbank

MYP Extended Mathematics 11.4 Vector Operations Questionbank

MYP Extended Mathematics 11.4 Vector Operations Questionbank

MYP Extended Mathematics 11.4 Vector Operations Questionbank

MYP MYP Extended Mathematics Topic 11.4 Vector Operations Questionbank