Consider the vectors A = 3.00 i + 5.00 j and B = 4.00 i - 5.00 j. (a) Draw the v

Question

Consider the vectors A = 3.00 i + 5.00 j and B = 4.00 i - 5.00 j. (a) Draw the vector sum C = A + B and the vector difference D = A - B. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Calculate C and D in terms of unit vectors. C = 7i + 0j D = -1i + 10j (c) Calculate C and D in terms of polar coordinates, with angles measured with respect to the positive +x axis. vector C magnitude direction degree counterclockwise from the x axis vector D magnitude direction degree counterclockwise from the +x axis

Explanation / Answer

From b, we have
C = 7i + 0j
D = -1i + 10j

So,
Part C)

magnitude of C = sqrt(Cx^2 + Cy^2)
= sqrt(7^2 + 0^2)
= 7
direction of C = arctan(Cy/Cx) = arctan(0/7) = 0 degrees

magnitude of D = sqrt(Dx^2 + Dy^2)
= sqrt(-1^2 + 10^2)
= 9.95
direction of D = arctan(Dy/Dx) = arctan(10/-1) = 95.7 degrees

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---