There are three activities which a student can do in this Concept Builder. Those activities are differentiated as follows:

**Counter-Clockwise from East**: Question Groups 1-6; students are given a diagram of a vector and drag a protractor into position in order to measure an angle and express the direction of the vector as a counter-clockwise angle of rotation from due east.**Rotation Angle from Nearest Axes**: Question Groups 7-12; students are given a diagram of a vector and drag a protractor into position in order to measure an angle and express the direction of the vector as the angle of rotation from one of the two nearest axes.**Convention Conversions**: QuestionGroups 13-18; students are given the direction of a vector in one of the two conventions and must do some spatial/mathematical reasoning in order to express the directoin in the other convention.

The questions from each group are shown below. Teachers are encouraged to view the questions in order to judge which activity or activities are most appropriate for their classes.

The Physics Classroom grants teachers and other users the right to print these questions for private use. Users are also granted the right to copy the text and modify it for their own use. However, this document should not be uploaded to other servers for distribution to and/or display by others. The Physics Classroom website should remain the only website or server from which the document is distributed or displayed. We also provide a PDF that teachers can use under the same conditions. We have included a link to the PDF near the bottom of this page.

Use the protractor to determine the direction of the given vector. Express your answer using the counter-clockwise (CCW) from East convention. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer using the counter-clockwise (CCW) from East convention. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer using the counter-clockwise (CCW) from East convention. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer using the counter-clockwise (CCW) from East convention. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer using the counter-clockwise (CCW) from East convention. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer using the counter-clockwise (CCW) from East convention. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer as an angle of rotation some direction from one of the two nearest axes. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer as an angle of rotation some direction from one of the two nearest axes. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer as an angle of rotation some direction from one of the two nearest axes. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer as an angle of rotation some direction from one of the two nearest axes. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer as an angle of rotation some direction from one of the two nearest axes. (The angle measure is a multiple of 15 degrees.)

Use the protractor to determine the direction of the given vector. Express your answer as an angle of rotation some direction from one of the two nearest axes. (The angle measure is a multiple of 15 degrees.)

Perform the following convention conversion for the given direction.

Convert 117° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 129° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 158° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 199° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 214° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 257° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 299° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 312° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 348° counter-clockwise from east to an angle of rotation from one of the two nearest axes.

Perform the following convention conversion for the given direction.

Convert 74° N of W to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 49° N of W to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 7° N of W to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 21° S of W to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 37° S of W to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 73° S of W to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 67° S of E to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 52° S of E to the counter-clockwise from east convention.

Perform the following convention conversion for the given direction.

Convert 24° S of E to the counter-clockwise from east convention.