A method of completely specifying the direction of a vector in space relative to some reference point is to use three-unit vectors i,j.k mutually at right angles to each other. If a = ai +a, i+ aşk and b = b,i + b, i +b,k are two vectors (i) show that the angle between the two vectors is given as a;b; +a,b; +a;b; + aj +a + bị +bị 6 = cos . (ii) Find 0, if a, = 1, az = .5, a3 = .2, b, = .7, b2 = 1.5, b, = .4 %3D

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A method of completely specifying the direction of a vector in space
relative to some reference point is to use three-unit vectors i,j,k
mutually at right angles to each other.
If a = a,i + az i+ aşk and b = b,i+ b; i +b;k are two vectors
(i) show that the angle between the two vectors is given as
a;b; +a,b; + a;b3
6; + a} +a; X/b; + bị +bị
= cos
(ii) Find 0, if a1 = 1, a2 = .5, az = .2,
b, = .7, bz = 1.5, bz = .4
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Transcribed Image Text:A method of completely specifying the direction of a vector in space relative to some reference point is to use three-unit vectors i,j,k mutually at right angles to each other. If a = a,i + az i+ aşk and b = b,i+ b; i +b;k are two vectors (i) show that the angle between the two vectors is given as a;b; +a,b; + a;b3 6; + a} +a; X/b; + bị +bị = cos (ii) Find 0, if a1 = 1, a2 = .5, az = .2, b, = .7, bz = 1.5, bz = .4 Add a caption... > Melle
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