If v=i+2j and w= - 2i + 7j, find projywv. Then decompose v into two vectors v, and v2, where v, is parallel to w and v2 is orthogonal to w. projwv V = (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.) (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.) V2 = (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 4E
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If v=i+2j and w= - 2i + 7j, find projywv. Then decompose v into two vectors v, and v2, where v, is parallel to w and v2 is
orthogonal to w.
projwv
V =
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)
V2 =
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)
Transcribed Image Text:If v=i+2j and w= - 2i + 7j, find projywv. Then decompose v into two vectors v, and v2, where v, is parallel to w and v2 is orthogonal to w. projwv V = (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.) (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.) V2 = (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)
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