What are (a) the x component, (b) the y component, and (c) the z component of 7 = à - b + if a = 2.8î+ 5.7 - 8.1k, b = -4.9î+ 4.4 +3.8k, and and the positive z axis. (e) What is the 1.8î+ 2.8ĵ + 4.6k. (d) Calculate the angle between =

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è if à = 2.8î + 5.77 – 8.1k,
What are (a) the x component, (b) the y component, and (c) the z component of 7 = à − b +
b = − 4.9î + 4.4ĵ + 3.8k, and
1.8î + 2.8ĵ + 4.6k . (d) Calculate the angle between and the positive z axis. (e) What is the
component of along the direction of b ? (f) What is the magnitude of the component of a perpendicular to the direction of b but in
the plane of a and b?
Transcribed Image Text:è if à = 2.8î + 5.77 – 8.1k, What are (a) the x component, (b) the y component, and (c) the z component of 7 = à − b + b = − 4.9î + 4.4ĵ + 3.8k, and 1.8î + 2.8ĵ + 4.6k . (d) Calculate the angle between and the positive z axis. (e) What is the component of along the direction of b ? (f) What is the magnitude of the component of a perpendicular to the direction of b but in the plane of a and b?
Vector a lies in the yz plane 49.0° from the positive direction of the y axis, has a positive z component, and has magnitude 5.50 m.
Vector b lies in the xz plane 55.0° from the positive direction of the x axis, has a positive z component, and has magnitude 1.40 m. Find
(a) a b, (b) the x-component of a x b, (c) the y-component of a x b, (d) the z-component of a x b, and (e) the angle between
a and b.
Transcribed Image Text:Vector a lies in the yz plane 49.0° from the positive direction of the y axis, has a positive z component, and has magnitude 5.50 m. Vector b lies in the xz plane 55.0° from the positive direction of the x axis, has a positive z component, and has magnitude 1.40 m. Find (a) a b, (b) the x-component of a x b, (c) the y-component of a x b, (d) the z-component of a x b, and (e) the angle between a and b.
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