Please anwer all the questions. For the vectors u = (1,3,1,2) and u = (2,-1,-3,1). (a)...
Please answer all questions for UPVOTE
LOCATION: Cleveland, Ohio
DREAM LOCATION: Rome, Italy
PRECALCULUS: VECTORS Directions: Suppose that you plan to take a trip to your dream destination. You would like to know the shortest distance between your starting point and your destination. When calculating distances on a plane, you need only consider two dimensions because you are on a flat surface. However, when finding distances between two points on Earth, you must take into the account the curvature of...
Properties of the dot product
Please help!
theoretical calculus
2. Some properties of the dot product: (a) The Cauchy-Schwartz inequality: Given vectors u and v, show that lu-vl lullv1. When is this inequality an equality? (Hint: Use the relationship between u-v and the angle θ between u and v.) (b) The dot product is positive definite: Show that u u 2 0 for any vector u and that u u 0 only when u-0. (c) Find examples of vectors u,...
Using Wolfram Mathematica to solve the problem
(1) Given the two vectors u = <6, -2, 1> and v = <1, 8, -4> Find u x v, and find u V a) b) Find angle between vectors u and v. c) Graph both u and V on the same system. d) Now, graph vectors u, V and on the same set of axes and give u x V a different color than vectors u and V. Rotate graph from part...
1- Two vectors are given as u = 2 – 5j and v=-{+3j. a- Find the vector 2u +3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes luand il of the two vectors. (4 pts) c- Calculate the scalar product u•v. (5 pts) d- Find the angle between the vectors u and v. (6 pts) - Calculate the vector product uxv. (6 pts)
find angle between vectors u = <1,2,1,-2> and vector v = <-1,1,3,1>. Write answer in terms of inverse trig if necessary (linear algebra)
Linear Algebra
2) General Inner Products, Length, Distance and Angle a) Determine if (u,v)-3uiv,-u,v, is a dot product b) Show that (u.v)-a+a,h,'2 is a product if a, 20 e)Let A-(41 ..)and B-G ) Use inner product on 4 -2 M (A, B aitai +apb +2a to find the length of A, B, namely ll-41 and 1 d) Find the angle between the two matrices above e) Find the distance between the two above matrices 0) For the functions (x)-1 and...
Find the angle between the vectors. (Round your answer to three decimal places.) u = (-3, 4), v = (-1, 2) 0 = radians
Question 17 Find the vector v with length 3 and the same direction as the vector u =(-1,6,5). •-( tas var - to vote --( tez le ton) Question 18 Find the angle in radians between the vectors u = (0,6, 0,6) and v- (3,5,6,3). Round your answers to three decimal places 1.224 radians 1.003 radians 0.297 radians 0.995 radians 0.881 radians
1- Two vectors are given as u = 2î – 5j and v=-î +3j. a- Find the vector 2u + 3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes lil and 17% of the two vectors. (4 pts) c- Calculate the scalar product uov. (5 pts) d- Find the angle 0 between the vectors ū and . (6 pts) e-Calculate the vector product u xv. (6 pts)
3. (Section 11.3) Explain using 1-2 sentences why u + v.w is not defined, where u, v, w are all nonzero vectors. Hint: think of the difference between a scalar and a vector, as well as what type of answer you get when computing a dot product.