Homework Help is Here – Start Your Trial Now!
Math
Calculus
Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. %3D Find unit vector parallel to 3 a -2 b +4 c.

Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. %3D Find unit vector parallel to 3 a -2 b +4 c.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
Q.1 If a = 3i - j- 4k, b= - 2i + 4j- 3k and c =i+ 2j-k. Find unit vector parallel to 3 a -2 b +4 c . Find the vector whose magnitude is 5 and which is in the direction of the vector 4i - 3j + k. Q.2 For what value of m, the vector 4i + 2j - 3k and mi – j+ 3 k have same magnitude? Given the points A (1, 2, - 1), B = (-3, 1, 2) and C = (0, -4, 3) () find AB, BС, АС Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that the triangle is right angled. Q.3 Q.4 (ii) Show that AB + BC = AC Q.5 Q.6 If vectors 3i + j -k and 2 i - 4j + 4k are parallel, find the value of 1. 27 Q.7 Show that the vectors 4i – 6j + 9k and -6i+9j -k are parallel. 2 Find real numbers x, y and z such that (a) (b) Q.8 7xi + (y- 3)j + 6k = 10i + 8j – 3zk (x + 4)i + (y- 5)j + (z - 1)k 0
Transcribed Image Text:Q.1 If a = 3i - j- 4k, b= - 2i + 4j- 3k and c =i+ 2j-k. Find unit vector parallel to 3 a -2 b +4 c . Find the vector whose magnitude is 5 and which is in the direction of the vector 4i - 3j + k. Q.2 For what value of m, the vector 4i + 2j - 3k and mi – j+ 3 k have same magnitude? Given the points A (1, 2, - 1), B = (-3, 1, 2) and C = (0, -4, 3) () find AB, BС, АС Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that the triangle is right angled. Q.3 Q.4 (ii) Show that AB + BC = AC Q.5 Q.6 If vectors 3i + j -k and 2 i - 4j + 4k are parallel, find the value of 1. 27 Q.7 Show that the vectors 4i – 6j + 9k and -6i+9j -k are parallel. 2 Find real numbers x, y and z such that (a) (b) Q.8 7xi + (y- 3)j + 6k = 10i + 8j – 3zk (x + 4)i + (y- 5)j + (z - 1)k 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Unit Vector
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS