Anonymous asked in Science & MathematicsPhysics · 1 month ago

help me with this physics question PLEASE?

The figure shows two vectors B and C, along with their magnitudes and directions. The vector D is given by D = B - C 

A) What is the magnitude of vector D? 

B) What angle does vector D make with the +x axis (give the angle between 0 degrees and 360 degrees)? 


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1 Answer

  • NCS
    Lv 7
    1 month ago
    Favorite Answer

    D = B - C = B + -C

    Dx = -(6*sin53º + 4*cos32º) = -8.184

    Dy = -(6*cos53º + 4*sin32º) = -5.731

    magnitude |D| = √(Dx² + Dy²) ≈ 10

    angle Θ = arctan(Dy/Dx) = 35º below -x axis = 215º

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