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Chapter 3: Q1. (page 67)

You are adding vectors of length 20 and 40 units. Which of the following choices is a possible resultant magnitude?(a) 0.(b) 18.(c) 37.(d) 64.(e) 100.

Short Answer

Expert verified

The possible resultant magnitude is option (c) 37.

Step by step solution

01

Step 1. Addition of vector

According to the commutative law of vector addition, the addition of vectors will stay identical irrespective of their combination.

If the vectors point in the opposite directions, the shortest possible resultant magnitude will be obtained, which is 20 units. In options (a) and (b), the given values are zero and 18, which are less than 20 units. So, these options are incorrect.

02

Step 2. Determine the possible resultant magnitude

Similarly, options (d) and (e) are incorrect because the maximum possible resultant magnitude is 60 units. The possible magnitude by adding the vectors can be 37 because it lies between the given values of length.

Thus, option (c) is the correct answer.

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