/*! 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. 10 How do you subtract two vectors ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 10 (page 800)

How do you subtract two vectors algebraically? Geometrically

Short Answer

Expert verified

u=x1i+y1jandv=x2i+y2ju鈫�-v鈫�=x1-x2i+(y1-y2)

Step by step solution

01

Subtract two vectors algebraically 

Let two vectors are,

u=x1i+y1jandv=x2i+y2ju鈫�-v鈫�=x1-x2i+(y1-y2)

Example:

role="math" localid="1663308079530" u鈫�=3i+8jandv鈫�=2i-4ju鈫�-v鈫�=3i-2i+8j+4j=i+12j

02

Subtract two vectors geometrically 

To subtract two vectors geometrically we position their initial points together, as we see in the right-hand figure. The vector u鈭�vextends from the terminal point of v to the terminal point of u.

Example:

localid="1663308270938" u鈫�=3i+8jandv鈫�=2i-4ju鈫�-v鈫�=3i-2i+8j+4j=i+12j

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

Prove the first part of Theorem 1.31(a): If k>0, then limx鈫�鈭�xk=鈭�. (Hint: Given M>0, choose N=M1/k. Then show that for x>N it must follow that xk>M.)

In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.

u=1,2,v=3,5

Find PQ鈬赌

P=5,-3,Q=3,-6

Find u+vand u-v. Also, sketch u,v,u+vand u-v.

role="math" localid="1649572653771" u=2,-6,v=6,2,

In Exercises 36鈥�41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

(c) The area of the triangle determined by the points.

P(1,4,6),Q(鈭�3,5,0),R(3,2,鈭�1)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Pure Maths

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.