Find a + b, 2a + 3b, Jal, and la - b|. a = i + 2j -3k, b = -5i-j+ 6k a + b = 2a + 3b = |a =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 39E
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Solve first and second part

Find a + b, 2a + 3b, Jal, and la - bl.
a = i + 2j - 3k, b = -5i-j + 6k
a + b =
2a + 3b =
|al
la - b| =
%3D
Find the scalar and vector projections of b onto a.
a = (4, 7, -4) b = (3, -1, 1)
a%3D
%3D
scalar projection of b onto a
vector projection of b onto a
Find the volume of the parallelepiped determined by the vectors a, b, and c.
a (5, 3, -3),
ь - (0, 3, 2),
C- (6,-1, 5)
cubic units
Transcribed Image Text:Find a + b, 2a + 3b, Jal, and la - bl. a = i + 2j - 3k, b = -5i-j + 6k a + b = 2a + 3b = |al la - b| = %3D Find the scalar and vector projections of b onto a. a = (4, 7, -4) b = (3, -1, 1) a%3D %3D scalar projection of b onto a vector projection of b onto a Find the volume of the parallelepiped determined by the vectors a, b, and c. a (5, 3, -3), ь - (0, 3, 2), C- (6,-1, 5) cubic units
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