Solve the problem.Show that the vectors 
b + 
a and 
b - 
a are orthogonal.
What will be an ideal response?
Take the dot product:
(
b + 
a) ? (
b - 
a) = (
b + 
a) ? 
b - (
b + 
a) ? 
a
= (
b) ? (
b) + (
a) ? (
b) - (
b) ? (
a) - (
a) ? (
a)
= 
2b?b + 
a ? b - 
a ? b - 
2 a?a
= 
2 
2 - 
2 
2 = 0
Since the dot product is zero and since neither vector is identically zero, then the vectors are orthogonal.
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Find all the local maxima, local minima, and saddle points of the function.
A. f
= 20, saddle point; f
= 20, saddle point
B. f
= - 60, local maximum
C. f
= 20, saddle point
D. f
= 20, local minimum; f
= 20, local minimum
Express the number in decimal notation.7 × 10-7
A. 0.0000007 B. -700,000 C. 0.00000007 D. 0.000007
Solve the equation.- 
y - (y + 
) = 
( y + 3)
A. 
B. 
C. 
D. 
Solve the equation.
+ 4 = 7
A. {
, - 
}
B. {- 
, 
}
C. {
, - 
}
D. ?