Answer to Question #81100 in Classical Mechanics for Aygozel

Question

The vector A with arrow has x, y, and z components of -11.00, 4.00, and -0.10 units, respectively.
(a) Write a vector expression for A with arrow in unit-vector notation.
(b) Obtain a unit-vector expression for a vector B with arrow one-fourth the length of A with arrow pointing in the same direction as A with arrow.
(c) Obtain a unit-vector expression for a vector C with arrow three times the length of A with arrow pointing in the direction opposite the direction of A with arrow.

Answer 1

A=(-11.00,4.00,-0.10)

B=λA
|B|=λ|A|=1/4 |A|,→λ=1/4
So
B=1/4 (-11.00,4.00,-0.10)=(-2.75,1.00,-0.025)

C=-λA
|C|=λ|A|=3|A|,→λ=3
So
C=-3(-11.00,4.00,-0.10)=(33.00,-12.00,0.30)