Given: 1. v = 2i – 4j + vV5 k, u = -2i + 4j – V5 k 4 2. V = i+k, u= 5i + 12j Find: |n| Ja| 'a.n b. the cosine of the angle between u and v. а. С. the scalar component of u in the direction of v.

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...
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Given:
1. v = 2i – 4j + V5 k, u = -2i + 4j – V5 k
2. v =i+k, u = 5i + 12j
3
4
Find:
u• v, [v], |u|
b. the cosine of the angle between u and v.
the scalar component of u in the direction of v.
d.
а.
С.
the vector projpů
Find the angles between the vectors:
u = 2i + j,
u = 2i – 2j + k, v = 3i + 4k
3.
v = i + 2j – k
а.
b.
Find the measures of the angles of the triangle whose
vertices are A(1,0), B(2,1), and C(1,–2).
4.
Transcribed Image Text:Given: 1. v = 2i – 4j + V5 k, u = -2i + 4j – V5 k 2. v =i+k, u = 5i + 12j 3 4 Find: u• v, [v], |u| b. the cosine of the angle between u and v. the scalar component of u in the direction of v. d. а. С. the vector projpů Find the angles between the vectors: u = 2i + j, u = 2i – 2j + k, v = 3i + 4k 3. v = i + 2j – k а. b. Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.
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