Three vectors are given by a⇒→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î +(1.00)ĵ +(4.00)k Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x- component, (d) y-component, and (e) z- component of a→×(b→+c→) respectively.

Three vectors are given by a⇒→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î +(1.00)ĵ +(4.00)k Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x- component, (d) y-component, and (e) z- component of a→×(b→+c→) respectively.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.41P: For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?

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Question

Three vectors are given by a→=4.00î +
(3.00)ĵ +(4.00)ka→,
b→=0î +(-3.00)ĵ +(-4.00)k
and c→=-3.00î +(1.00)ĵ +(4.00)k
Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x-
component, (d) y-component, and (e) z-
component of a→x(b→+c→) respectively.

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