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Chapter 2: Q25P (page 45)

(a) What is the vector whose tail is at <9.5,7,0>m and whose head is at <4,-13,0>m? (b) What is the magnitude of this vector?

Short Answer

Expert verified

(a) The required vector is α→=-5.5,-20,0m.

(b) The magnitude of this vector is α→=20.74m.

Step by step solution

01

Identification of given data

The given vector is,

Tail- 9.5,7,0m

Head- 4,-13,0m

02

Calculating vector

To find the vector (denoted with ) which is between these two points, subtract the point that the tail on it from the point that the head on it(similar to finding displacement between two points).

a→=4-13,0-9.5,0=-5.5,-20,0

Therefore, the required vector is a→=-5.5,-20,0m.

03

Calculating magnitude

(b) The magnitude of this vector (which we found in part (a) of this problem to be m) can bea→=-5.5,-20,0calculated as:

α→=-5.52+-202=20.74m

Thus, the magnitude of the vector is α→=20.74mm.

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