5. the analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. find the magnitude of the resultant of the vectors a = i12 —j37 + k58 and b = i5 + j30 — k42, where i, j, and k are unit vectors along the x, y, and z axes, respectively

C = 17 i^ - 7 j^ + 16 k^ ,   | C| = 24.37

Explanation:

To work the vactor component method, we add the sum in each axis

C = A + B = (Aₓ + Bₓ) i ^ + ( + ) i ^ + ( + ) k ^

Cₓ = 12+ 5 = 17

= -37 +30 = -7

= 58 -42 = 16

Resulting vector

C = 17 i ^ - 7j ^ + 16k ^

The mangitude of the vector is

| C | = √ c²

| C | = √( 17² + 7² + 16²)

| C| = 24.37

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

f=ma a/f/m a= 480/60 a = 8m/s/s that is quick wow