/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 30 In Exercises \(21-38,\) let $$... [FREE SOLUTION] | 91影视

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Chapter 7: Problem 30

In Exercises \(21-38,\) let $$\mathbf{u}=2 \mathbf{i}-5 \mathbf{j}, \mathbf{v}=-3 \mathbf{i}+7 \mathbf{j}, \text { and } \mathbf{w}=-\mathbf{i}-6 \mathbf{j}$$ Find each specified vector or scalar. $$-7 \mathbf{w}$$

Short Answer

Expert verified
The product obtained after scaling vector \(\mathbf{w}\) by -7 is \(7\mathbf{i}+42\mathbf{j}\).

Step by step solution

01

Identify the Vector

Identify vector \(\mathbf{w}\) which is given as \(-\mathbf{i}-6\mathbf{j}\).
02

Multiply the Scalar and the Vector

Multiply the scalar -7 with each component of vector \(\mathbf{w}\) to find \(-7 \mathbf{w}\). This operation gives \(-7(-\mathbf{i}-6\mathbf{j}) = 7\mathbf{i}+42\mathbf{j}\).

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