2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product of any vector with itself is 0. a) only P b) only Q c) both P and Q d) neither P nor Q

Linear Algebra: A Modern Introduction
4th Edition
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Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 47EQ
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Question
What’s number 2?
1) Find the center and rådi
a) Center = (-3,11,-1) radius = 3
d) Center = (3,-11,1) radius = 3
b) Center = (-3,11,-1)
e) Center = (3,-11,1) radius = 9
f) Center = (3,-11,1)
2) which of these statements is(are) true?:
P: The cross Product is commutative
Q: The cros Product of any vector with itself is 0.
a) only P (b)only Q
c) both P and Q
d) neither P nor Q
3) Which vector is orthogonal to the vector <2,3,4> ?
b) <3,-2,1>
Ta < 2, 3, 4>
c) <-4.5,7,-3>
d) <1,1,1>
e) none of these
4)A
Which of the graphs represent the parametric equations: x= 3t – 6
y =1 - 4
a)
b)
c)
d)
5) Find the unit vector in the direction of y = 2i + i 4 k 222222
2- 1-
2.
b) -i+÷j+=k
2- 1-
c)
d) i+j+km
a)
i+
+?:
3
2It) ek
6) Eliminate the parameter and find à corresponding rectangular equation:
x = t , y=2-3 t
7) For each set of parametric equations, eliminate the parameter and find a corresponding rectangular
equation:
x =3 - 7 cos t
y = 12 - sin t
(x-3)2
8) Compute the cross product: <4,-1,2> x <-5,-3,10>
2
10
33 10
(H06)
(toMO) (5-12)
-16
30
-7
Transcribed Image Text:1) Find the center and rådi a) Center = (-3,11,-1) radius = 3 d) Center = (3,-11,1) radius = 3 b) Center = (-3,11,-1) e) Center = (3,-11,1) radius = 9 f) Center = (3,-11,1) 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cros Product of any vector with itself is 0. a) only P (b)only Q c) both P and Q d) neither P nor Q 3) Which vector is orthogonal to the vector <2,3,4> ? b) <3,-2,1> Ta < 2, 3, 4> c) <-4.5,7,-3> d) <1,1,1> e) none of these 4)A Which of the graphs represent the parametric equations: x= 3t – 6 y =1 - 4 a) b) c) d) 5) Find the unit vector in the direction of y = 2i + i 4 k 222222 2- 1- 2. b) -i+÷j+=k 2- 1- c) d) i+j+km a) i+ +?: 3 2It) ek 6) Eliminate the parameter and find à corresponding rectangular equation: x = t , y=2-3 t 7) For each set of parametric equations, eliminate the parameter and find a corresponding rectangular equation: x =3 - 7 cos t y = 12 - sin t (x-3)2 8) Compute the cross product: <4,-1,2> x <-5,-3,10> 2 10 33 10 (H06) (toMO) (5-12) -16 30 -7
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