1.15. Show the following vector identities by writing each vector in terms of Cartesian unit vectors and showing that each component of the LHS is equal to the corresponding component of the RHS. (a) a (b x c) = c (a x b) = b (c x a). (b) a x (b x c) = b(a·c) - c(a b), this is called the bac cab rule. (c) (a x b) · (c x d) = (a · c)(b · d) – (a·d)(b· c). (d) (a x b) × (c x d) = b[a · (c x d)] – a[b (c x d)]. (e) (a x b) × (c x d) = c[a · (b x d)] – d[a (b x c)]. (f) (a x b) · (a x b) = |al2|b|? – (a - b)². %3D 1.21. A at the co %3D (a) Find at (0,0, 2 b) Sho %3D

1.15. Show the following vector identities by writing each vector in terms of Cartesian unit vectors and showing that each component of the LHS is equal to the corresponding component of the RHS. (a) a (b x c) = c (a x b) = b (c x a). (b) a x (b x c) = b(a·c) - c(a b), this is called the bac cab rule. (c) (a x b) · (c x d) = (a · c)(b · d) – (a·d)(b· c). (d) (a x b) × (c x d) = b[a · (c x d)] – a[b (c x d)]. (e) (a x b) × (c x d) = c[a · (b x d)] – d[a (b x c)]. (f) (a x b) · (a x b) = |al2|b|? – (a - b)². %3D 1.21. A at the co %3D (a) Find at (0,0, 2 b) Sho %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

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