Two Vectors Points: 3 The diagram below shows two vectors, A and B, and their an

Question

Two Vectors Points: 3 The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as indicated. DATA: a. 42.30 B- 4.20 IAI = 6.7 cm. The vector ^-B is parallel to the-x axis (points due west). Calculate the y-component of vector B. 1.51 cm You are corne 161-3848 Your receipt no. is Calculate the x.component of the vector A B 10 9 cm The y and x components of a vector are the projections of the vector onto the corresponding axes. You can draw a triangle and calculate the components by using sin,cos, or tan. Components have signs,+or Submt Ante Incorrect. Tries 3/99 Prevlous Tries Calculate the magnitude of the vector A + B. Submt Anwer Tries 0/99

Explanation / Answer

Ax = -A*cosalpha = -6.7*cos42.3 = -4.96 cm

Ay = -A*sinalpha = -6.7*sin42.3 = -4.51 cm

A = Axi + Ayj

Bx = B*sinbeta = B*sin54.2

By = -B*cosbeta = -B*cos54.2

B = Bxi + Byj

given A - B is parallel to axis

Ay - By = 0

-4.51 - (By) = 0

By = -4.51 cm

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By = -B*cos4.2

-4.51 = -B*cos54.2

B = 7.71 cm

x component of B , B = B*sinbeta = 7.71*sin54.2 = 6.25 cm

x component of A - B = Ax - Bx = -4.96 - 6.25 = -11.21 cm

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x component of A + B = Ax + Bx = -4.96 + 6.25 = 1.29 cm

y component of A + B = Ay + By = -4.51 - 4.51 = -9.02 cm

magnitude of A + B = sqrt(1.29^2+9.02^2) = 9.11 cm

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