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Show that A = au + bv is orthogonal to B = bu - av, where u and v are orthogonal unit vectors.
Bpr621
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Show that A = au + bv is orthogonal to B = bu - av, where u and v are orthogonal unit vectors.
Show that
A
= a
u
+ b
v
is orthogonal to
B
= b
u
- a
v
, where
u
and
v
are orthogonal unit vectors.
Textbook
Calculus: Early Transcendentals
Edition:
3
^{rd}
Authors:
Briggs, Cochran, Gillett, Schulz
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More questions for this book are
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A
∙
B
= (a
u
+ b
v)
∙(b
u
- a
v
) = ab
u
∙
u
- a
^{2}
u
∙
v
+ b
^{2}
u
∙
v
- ab
v
∙
v
= ab - ab = 0
Since the dot product is zero and since neither
A
nor
B
is identically zero,
A
and
B
are orthogonal.
1
Report
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Show that the vectors b + a and b - a are orthogonal.
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Bpr621
wrote...
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A month ago
Smart ... Thanks!
shangshang
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Yesterday
Helped a lot
Tabitha.davis
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2 hours ago
I appreciate what you did here, answered it right
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