In Problems 45–50, find the unit vector in the same direction as v.45. v = 5i 46. v = - 3j 47. v = 3i - 6j - 2k 48. v = - 6i + 12j + 4k 49. v = i + j + k 50. v = 2i - j + k

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

A:

Q: PROBLEM # 1 t3uy +5uz, FOR THE VECTORS A= Ux B= 2 Ux + 4uy + Guz, and C=3ux +4uy +5uz, Sko SHOW THAT…

A:

Q: according to what you learned from the vector addition experiment, if we have vectors à = 2.4x – 3ŷ…

A: Given that,a→=2.4x⏞-3y⏞b→=4x⏞+5.5y⏞x⏞ and y⏞ are unit vectors representing positive x and y…

Q: a vectors p = (2) and t = (,).

A:

Q: In Problems 40–45, use the vectors v = 3i + j - 2k and w = - 3i + 2j - k to find each expression.…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: NEED FULLY CORRECT HANDWRITTEN SOLUTION FOR THIS ASAP... Please be fast and I'll rate positive for…

A: Given- Let y = 16 and u = 5-7.  To find- Write y as the sum of two orthogonal vectors, one in Span u…

Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: If two vectors ? = 4i+ 6j- 8k and ? = 6? − 8? + 4? ar

Q: Find the magnitude of the vectors represented 5 3 1 by (a) (b) |³| (c) 12 4 3 LO 5 1

A:

Q: If v=3w then the two vectors v and w are ................

A: Given :                    If v = 3w, then the two vectors  v and w are ____________

Q: Problem 2: Assume that M and N are non-zero vectors. Using properties of vectors, explain why M · (M…

A: The dot product of two vectors M⇀ and N⇀ is defined as the following  M⇀.N⇀=M⇀.N⇀cosθ, where θ is…

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Find the magnitude of the given vector. (2, 6, –2)

A:

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: In Problems 31–35, use the vectors v = - 2i + j and w = 4i - 3j to find: 31. v + w 32. 4v - 3w 33.…

A: Vector is a physical quantity which has both magnitude as well as direction. For example velocity…

Q: When decomposing the vector A= 2i - 1 + 3k into the sum of two vectors, the first is parallel to the…

A:

Q: Problem 1. (a) Does vector T = belong to Span (S), where 4. S = If so, express ū as a linear…

A: Given ν=114 S=101, 1-1-2,1-2-5

Q: 31:- A) Sind uniA vector Lr 3a tb if aijrk ち-2S-sk

A:

Q: V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

A:

Q: 2. If a --i+3j-k and E-2itj-3K decompose vectoes E into the sum of two vectors, one is paralled and…

A: This question can be solved using the concept of condition of two vectors to be parallel and…

Q: In Problems 19–22, vị = (4, 6), v2 = (-3, -6), v3 = (-8, 4), and V4 = (10, 15). 19. Find the vector…

A: Given, v1=(4,6),v2=(-3,-6),v3=(-8,4) nd v4=(10,15)

Q: Find two vectors ?⎯⎯⎯1v¯1 and ?⎯⎯⎯2v¯2 whose sum is ⟨2,−5,3⟩⟨2,−5,3⟩, where ?⎯⎯⎯1v¯1 is parallel to…

A: We have to find v1 and V2 vector.

Q: In Problems 9–18, (a) find the dot product v · w; (b) find the angle between v and w; (c) state…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In Problems 59–64, write the vector v in the form ai + bj, given its magnitude || v || and the angle…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. We have two vectors: a =) and b= 8 What is the resultant of -a plus b? (

A: Given:     To find: -a + b

Q: a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

A: Vectors are geometric representations of magnitude and direction which are often represented by…

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A:

Q: 03, If a=(3,-1,1), for what value ofe is the vector b-(3,c,-1) perpendicular to a?

A:

Q: if vector AB =(-7i+3j+8k) and the point A= (-2,-2,6) find B

A: Given, AB =(-7i+3j+8k) and the point A= (-2,-2,6) Let the coordinates of B be (x,y,z) Now, AB = B-A…

Q: through the point (−2,4) and is perpendicular to the line  x=[31]+t[4−5] is

A:

Q: In Problems 23–25, use the vectors u = 2i - 3j + k andv = - i + 3j + 2k.23. Find u * v.24. Find the…

A: 23. Given vectors are: u=2i-3j+kv=-i+3j+2k Then we get,…

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )…

A: Given problem:-

Q: Find two different combinations of the three vectors u = (1, 3) and v = (2, 7) and w = (1, 5) that…

A:

Q: 5 Given that p andr , find in column vector form: 4 p-r ep-2

A:

Q: Q1) If a vector gets multiplied by a positive number, its direction * .will be reversed

A: Given statement : If the vector gets multiplied by a positive number, it's direction will be…

Q: 4. If d and | = v3, determine (27 – 38)- ( +28). 6 are unit vectors and

A:

Q: 3.10 Rotate the vectors 2 x1 := 3 [4] x2 := by 30°.

A: As we know that, the rotation matrix when the vector rotates about the z-axis in the…

Q: Suppose column 5 of U has no pivot. Then x5 is a __ variable. The zero vector (is) (is not) the only…

A:

Q: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.

Q: TRUE/FALSE If x and y are nonzero vectors in Rn and A = xyT , then the row echelon form of A will…

A:

Q: 13. Describe the vector that translates LMN to L'M'N’. 6. L' L 2 N' M -6 -4 -2 4 6 N2 M -4 -6 4,

A: Translation vector

Q: Problem 6. For what values of h are the vectors -21 [*] 3 h and linearly independent?

A:

Q: Jump to level 1 1 Vị = 7 V2 8 -2 Which weights should be used for b = a1vị + a2V2 to obtain the…

A:

Q: 1. If vectors u (3, 3), v-(13.-7), and 2w +3u-v 2. When is it true that u+ v=v+u?

A: The symmetric property states that for all real numbers x and y, if x=y, then y = x SO,  u+v =v + u

Q: - Find the length of the vector -3v if v = (2, 3, -2, 1).

A: Givenv=(2,3,-2,1)-3v=(-6,-9,6,-3)

Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: Suppose the vector x characterizing the antigenic state of an influenza virus population changes…

A: The vector in the previous influenza season is 3/2, 1

Q: ) Find the cross product of the given vectors e = (6,-2,3) and f= (2,5,-1).

A: Given that  e= (6,-2,3) and f= (2,5,-1). We find vector cross product of this given vector.…