Chapter 9: Q. 5 (page 612)

True or False
Given two nonzero vectors vand w, it is always possible to decompose v into two vectors, one parallel to w and the other perpendicular to w.

Short Answer

Expert verified

The given statement is True.

Step by step solution

Step 1. Given Information

We are given an incomplete statement about the dot product.

We have to find whether the given statement is true or false.

Step 2. Finding True or False

Any two nonzero vectors v and w can be decomposed into two vectors, if they are having the same initial point. One of these will be parallel to w and the other one will be orthogonal to w.

Hence the given statement is True.

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True or False
Given two nonzero vectors vand w, it is always possible to decompose v into two vectors, one parallel to w and the other perpendicular to w.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding True or False

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True or FalseGiven two nonzero vectors vand w, it is always possible to decompose v into two vectors, one parallel to w and the other perpendicular to w.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding True or False

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Calculus

Discrete Mathematics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

True or False
Given two nonzero vectors vand w, it is always possible to decompose v into two vectors, one parallel to w and the other perpendicular to w.