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please help The vector A has x, y, and z components of -1.00, -10.00, and -0.56

ID: 1313141 • Letter: P

Question

please help

The vector A has x, y, and z components of -1.00, -10.00, and -0.56 units, respectively. Write a vector expression for A rightarrow In unit-vector notation. A rightarrow = Obtain a unit-vector expression for a vector B rightarrow one-fourth the length of A rightarrow pointing in the same direction as A rightarrow. B rightarrow = Obtain a unit-vector expression for a vector C rightarrow three times the length of A rightarrow pointing in the direction opposite the direction of A rightarrow. C rightarrow =

Explanation / Answer

|A| = ((1)^2 + (10)^2 + (0.56)^2)^(1/2) = 10.065

A unit vector = 1/|A| (A vector) = 1/10.065* ( -i - 10j - 0.56k)

B vector = 1/4 * (-i - 10j - 0.56k) = -0.25i - 2.5j - 0.14k

C vector = -3* (-i - 10j - 0.56k) = 3i + 30j + 1,68k