Vector Components and Addition

Aaron Agin recently submitted his vector addition homework. As seen below, Aaron added two vectors and drew the resultant. However, Aaron Agin failed to label the resultant on the diagram. For each case, identify the resultant (A, B, or C) and indicate what two vectors Aaron added to achieve this resultant (express as an equation such as X + Y = Z).

• R = A

  A + B = C

• R = B

  C + B = A

• R = A

  C + B = A

• R = C

  A + B = C

Aaron Agin recently submitted his vector addition homework. As seen below, Aaron added two vectors and drew the resultant. However, Aaron Agin failed to label the resultant on the diagram. For each case, identify the resultant (A, B, or C) and indicate what two vectors Aaron added to achieve this resultant (express as an equation such as X + Y = Z).

• R = A

  A + B = C

• R = B

  C + B = A

• R = A

  C + B = A

• R = C

  A + B = C

Use Pythagorean Theorem to determine the magnitude of the magnitude of the resultant.

• R=7m

• R=12m

• R=6m

• R=5m

Use SOH CAH TOA to determine the direction CCW from east for the resultant.

Use Pythagorean Theorem to determine the magnitude of the magnitude of the resultant.

• R=7m

• R=12m

• R=6m

• R=5m

Use SOH CAH TOA to determine the direction CCW from east for the resultant.

Use the Pythagorean Theorem and SOH CAH TOA to determine the magnitude and direction of the following resultants.

In a classroom lab, a Physics student walks through the hallways making several small displacements to result in a single overall displacement. The listings below show the individual displacements for student A. Simplify the collection of displacements into a pair of N-S and E-W displacements. Then use Pythagorean theorem to determine the overall displacement.

• 92 m Southwest

• 69 m Southwest

• 40 m Southwest

• 40 m Northeast

In a classroom lab, a Physics student walks through the hallways making several small displacements to result in a single overall displacement. The listings below show the individual displacements for student B. Simplify the collection of displacements into a pair of N-S and E-W displacements. Then use Pythagorean theorem to determine the overall displacement.

• 132 m Northeast

• 40 m Southwest

• 76 m southwest

• 76 m Northeast

Determine the components of the following vectors.

• Cx = 10.4 m

  Cy = 6 m

• Cx = 6 m

  Cy = 10.4 m

• Cx = 6.2 m

  Cy = 29.3 m

• Cx = 29.3 m

  Cy = 29.3 m

Tags

NGSS.HS-PS2-1