Three vectors are given by a
= 2.0 i + (0) j + (0)
k , b = 1.0 i + (3.0)
j + (1.0) k , and
c = ?4.4 i + (?2.0) j + ((?4.0)
k . Find:
i) a
BX C = (1.0 i + (3.0) j + (1.0) k ) X ( ?4.4 i + (?2.0) j + ((?4.0) k)
= -2 k +4j +13.2k +12i -4.4j +2i
= 14i -.4j + 11.2k
A.(BxC) = (2.0 i + (0) j + (0) k). (14i -.4j + 11.2k) = 28
A.(B+C) = (2.0 i + (0) j + (0) k).(1.0 i + (3.0) j + (1.0) k + ?4.4 i + (?2.0) j + ((?4.0) k)
= (2.0 i + (0) j + (0) k). (-3.4 i + j -3 k)
= -6.4
Ax (B+C) = (2.0 i + (0) j + (0) k) X (-3.4 i + j -3 k)
= 2.0 k + 6j
x component = 0
y component = 6
z component = 2
1.) ( 2i + 0j + 0k ) . ( 14 i - 0.4 k - 15.2 k )
= 28
2.) (2i ) . ( -3.4 i + j - 3 k)
= -6.8
3.) (2i) x ( -3.4 i + j - 3k)
= 6j + 2k
x component = 0
y = 6
z = 2
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