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6) Find two unit vectors that are parallel to the tangent line of f(x) = tan(x) at the point (7,0).

6) Find two unit vectors that are parallel to the tangent line of f(x) = tan(x) at the point (7,0).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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6) Find two unit vectors that are parallel to the tangent line of f(x) =tan(x) at the point (7,0). 7) Let a = (a1, 02, 03), b = (b₁,b2, b3) and c = (C₁, C2, C3) be vectors in R³, and let k be a real number. Prove the following properties of dot products: • a. a = |a|² •a.b=b.a • a (b + c)= a·b+a.c (ka) b = k(a - b) • 0·a=0
Transcribed Image Text:6) Find two unit vectors that are parallel to the tangent line of f(x) =tan(x) at the point (7,0). 7) Let a = (a1, 02, 03), b = (b₁,b2, b3) and c = (C₁, C2, C3) be vectors in R³, and let k be a real number. Prove the following properties of dot products: • a. a = |a|² •a.b=b.a • a (b + c)= a·b+a.c (ka) b = k(a - b) • 0·a=0
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