Fvect and rvect are vectors. Fvect = Fx ivect + Fy jvect + Fz kvect, where Fx =

Question

Fvect and rvect are vectors. Fvect = Fx ivect + Fy jvect + Fz kvect, where Fx = [01] N, Fy = 60 N, and Fz = -70 N, and rvect = xivect + yjvect + zkvect, where x = 40 m, y = [02] m, and z = -10 m. Give your answer to three significant figures. What is the magnitude of Fvect (N)? What is the magnitude of rvect (m)? What is the x component of the vector product rvect times Fvect (N m)? What is the y component of the vector product rvect times Fvect (N m)? What is the z component of the vector product rvect times Fvect (N m)?

Explanation / Answer

1)Magnitude of F =sqrt [57.5^2 +60^2 + -70^2] =108.65 N (ans)

2)Magnitude of r =sqrt [40^2 +-36.7^2 + -10^2] =55.198 m (ans)

3) r X F =i (60*-10 - -36.7*-70) =-3169 Nm i (ans)

4)r X F =-j(57.5 *-10 - 40*-70)= -2225 Nm j (ans)

5) r X F=k( 57.5*-36.7 - 60*40] =-4510.25 Nm k (ans)

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