MYP Extended Mathematics Topic 11.3 Vector…

In a parallelogram $ABCD$ , the position vectors of three vertices relative to an origin $O$ are $\overrightarrow{OA} = \mathbf{a}$ , , and . Find the position vector of the fourth vertex, .

A drone moves from a starting point $O$ with an initial translation $\mathbf{d}_1 = 4\mathbf{i} - 3\mathbf{j}$ and then follows with a second translation $\mathbf{d}_2 = -2\mathbf{i} + 5\mathbf{j}$ . What is the total displacement from the start?

True or False: If the position vectors of points $P$ and $Q$ are $\mathbf{p}$ and $\mathbf{q}$ respectively, then the displacement vector $\overrightarrow{PQ}$ is calculated as .

Which of the following expressions correctly represents the vector journey $\overrightarrow{DC}$ by going through point $B$ ?

True or False: If the vector $\mathbf{v} = 2\mathbf{i} - 5\mathbf{j}$ represents a translation, then the vector $-\mathbf{v}$ represents a translation of 2 units to the left and 5 units up.

$\mathbf{c} + \mathbf{b} - \mathbf{a}$

$\mathbf{a} - \mathbf{b} + \mathbf{c}$

$\mathbf{a} + \mathbf{b} + \mathbf{c}$

$\mathbf{a} + \mathbf{b} - \mathbf{c}$

$2\mathbf{i} + 2\mathbf{j}$

$-6\mathbf{i} + 8\mathbf{j}$

$6\mathbf{i} - 8\mathbf{j}$

$2\mathbf{i} - 2\mathbf{j}$

$\overrightarrow{DB} + \overrightarrow{BC}$

$\overrightarrow{CB} + \overrightarrow{BD}$

$\overrightarrow{BD} + \overrightarrow{BC}$

$\overrightarrow{BC} - \overrightarrow{BD}$

MYP Extended Mathematics 11.3 Vector Representation Questionbank

MYP Extended Mathematics 11.3 Vector Representation Questionbank

MYP Extended Mathematics 11.3 Vector Representation Questionbank

MYP Extended Mathematics 11.3 Vector Representation Questionbank

MYP MYP Extended Mathematics Topic 11.3 Vector Representation Questionbank