/*! 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} Q. 42 Find a vector orthogonal to both... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 42 (page 627)

Find a vector orthogonal to both u and w.

u=2i-3j+kw=i+j+3k

Short Answer

Expert verified

The vector 10i-5j+5kis orthogonal to both u and w

Step by step solution

01

Step1. Given information 

vectors

u=2i-3j+kw=i+j+3k

According to geometrical properties of the cross, the product is the resultant of the cross product is orthogonal to both vectors

so orthogonal vector =u脳w

02

Step2. Calculating the orthogonal vector 

u=2i-3j+kw=i+j+3ku脳w=ijk2-31113u脳w=[i-3113-j2113+k2-311]u脳w=-10i-5j+5k

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 47鈥�52, find the unit vector in the same direction asv:v=i-jv=i-j

In Problem, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.

Find each quantity if v=3i-5j and w=-2i+3j then 2v+3w

In Problems 11鈥�22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

2+3i.

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(5,300掳)
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.