Determine whether the given pair of vectors are orthogonal (perpendicular) (a) a2,0,1> and b=< -4,3,8> (b)...
Find two unit vectors orthogonal to both 1 = (4, 2, 4) and 7 (0,3, 8). Enter the two vectors in the form <a,b,c>, separated by commas. All the components should be in exact form (i.e. no decimal entries allowed). unit vectors = Submit Question
Let the vectors a = <1,2,3>, b= <1,1, 1 > and c = <1,2, 1 > a) Determine whether the three are coplanar None of these 4 0.71 0.74 no b) Find the volume of the parallelepiped form c) Find the unit vector orthogonal to both ved d) Find the angle between the vectors a and 22.26 bunded to 2 decimal points) 12:21 e) Find the component of the vector a along 39.51 -1 ge
Consider the following vectors 4 4 For each of the following vectors, determine whether it is in spana, b, c. If so, express it as a linear combination using a, b, and c as the names of the vectors above < Select an answer > 4 14 20 < Select an answer > < Select an answer >
Provide an appropriate response. Given Ho: ? 25 and Ha: ?> 25, determine whether the hypothesis test is left tailed right-tailed, or two-tailed. A left-tailed B) right-tailed C) two-tailed
Question 3. Use the class equation to show that, if G is a group of order p' for p a prime and r > 1 (such a G is called a p-group), then Z(G) must be nontrivial
3. Given that AH =-622.2kJ N,H., +02: H4+503, »N,, +24,0, H40, AH =-285.8kJ Determine the heat of reaction for: N2g +2H,, ->N,H41 Is the reaction endothermic or exothermic?
1. Expressions for Burgers vectors for FCC and BCC crystal structures, are of the form, b= a/2 <uvw> where a is the unit cell edge length. a. Describe the magnitude of Burgers vectors of dislocations that will glide on the most effective slip system in FCC and BCC crystals respectively. b. Determine the values of bl for aluminum and chromium.
1. Let a=(ay, ay) and b= (6,62) be vectors in Rº. a. Verify that <a, b >= 20,62 +5 a,b2 satisfies the inner product axioms. b. a=(-1,3), b= (2,5) Find da,b).
PROVE:
4. If f : R → R is a strictly increasing function, f(0) = 0, a > 0 and b > 0, then
Linear algebra please prove and write neatly
Any set of m vectors in R™ is linearly dependent if m>n