Y. mph x, mph -140 40 mph a) Find the vector 2 in rectunguler form by adding vectors A and B. b) Convert the vecter Ĉ to paler form. 10 mph 10

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Consider the given vectors a→=-52i+6j  ,   b→=-10i+24j

Q: Find the unit vector having the same direction as v. v = 4i - 3j 3 u = O u = 20i - 15j %3D 5. u =

A:

Q: Given the vectors u and i = , perform the operations below. %3D -4. ū +7. = Question Help: O…

A: Vector problem.....

Q: u = 700i + 500j

A:

Q: Write a vector of magnitude 5, parallel to the plane 3x + 4y + 5z = 10 and perpendicular to the…

A:

Q: let A = si-j+ k which pairs of vectors ave @ perpendicular. ? O parallel. ? B=i-SK, f C=-15i+3j-3K.…

A:

Q: Find the component form of the given vector V. belaw Dont forget round off to two decimal piacees.…

A: a) given that : r=14 & θ=55°  then components of the vectors are x=rcosθ , y=rsinθ   therefore…

Q: Pls help

A: ABC is an equilateral triangle and D E f are the midpoints of the sides

Q: Determine the dot product of vectors a, b when |a| = 5, |b| = 1 and the angle between a and b is…

A:

Q: Let u =j- 3k, v = - 9i + 3j – 3k, w = 3i -j+ k. Which vectors, if any are (a) perpendicular? (b)…

A:

Q: ind a unit vector that has the same direction as the vector –3ỉ + 7j.

A:

Q: Show steps clearly.

A:

Q: Consider the figure below. If AABC is translated using the vector (r, y) → (1- 3, y+3), then rotated…

A: Identify the coordinate of C: The coordinate of C is: C-4, 1

Q: The points A, B, C and D form a parallelogram. The points A, B and C have position vectors 2i –…

A:

Q: What is the area of the parallelogram formed by the vectors v = (1,0, 1) and w = (0, 2, 2) tail to…

A:

Q: Find the unit vector having the same direction as v. v=5i+-12j

A: Please refer to the image below.

Q: (a) Write down and OB in terms of the unit vectors i, j and k. (b) Calculate OA OB and hence…

A: Given O to be the center of the base of the cube and i,j and k directions to be parallel to the…

Q: Given the vectors u = and v = , perform the operations below. %3D ü - =

A: We have given two vectors which are given by u→ = 3,7 and v→ = -9,-3. If two vectors  p→ = a,b and…

Q: Determine the magnitude and the direction angles of a vector 1li + 3j – 7k ft. Magnitude is o ft, a…

A: Let the given vector be r=11i+3j-7k. Evaluate the magnitude of the given vector as follows.…

Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

A: Given : v⇀=20 @85°radius r=20angle θ=85 To convert it into rectangular coordinates we use formula…

Q: A) Find the angle between the vectors u = 21 +j+9k, v = 61-12j and %3D sketch the vectors and the…

A: Given,u=2i+j+9kv=6i-12jWe know that cosθ=|u.v|u||v||u.v=(2i+j+9k)(6i-12j)u.v=12-12u.v=0Therefore…

Q: a/The angle between the two vectors A2 Bz 3 TT 2

A:

Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

A:

Q: Write a unit vector that points in the direction of the vector i+√2j+7k

A:

Q: Copy the vectors in the figure and use them to draw the following vectors.(a) u + v(b) u + w(c) v +…

A: Copy the vectors in the figure and use them to draw the following vectors :   (a) u + v (b).  u +…

Q: Rotate the vector (0,2) 270° counter-clockwise about the origin. {[ ? ],[ KU?1| )

A: Given vector is : 0,2 , rotate the vector 0,2 270∘in counter clockwise about origin.

Q: Hello, any help for this problem would be greatly appreciated. Thank you! 8.4

A: Given vector is  Its magnitude is

Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

A:

Q: A) Find the angle between the vectors u 21+j+ 9k,v 61-12j and %3D sketch the vectors and the angle…

A:

Q: Find the unit vector that has the same direction as the vector v = 8i - 6j.

A: Given vectorv=8i^-6j^

Q: Consider the vectors ā = 2i+3- k, č = i+ j+3k d = 21-j+ k, j = -21- j+ k. Which pairs (if any) of…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: b) How do you tell if two vectors are perpendicular?

A:

Q: Show correct answer from the multiple choice options.

A:

Q: Calculate the values of a and b so that points A (1,1,1), B( a,2,b) and C(1.0,0) are aligned…

A: If two vector are collinear , then they are scalar multiple of each other. that is AB→=λAC let a ,…

Q: If you three vectors a = i + j + k, b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel…

A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

A:

Q: Pls help ASAP

A:

Q: C a

A:

Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: What is the dot product of two perpendicular vectors? [A] 1 [B] 0 [C] -1 [D] 1/2

A: If two vectors are perpendicular then their dot product is zero. That is dot product of two…

Q: Express the following vectors in Cartesian (component) form. a) f has magnitude 20 and direction…

A: Solution:-

Q: Find the unit vector directed from V(2, - 5,– 2) toward M(14, – 15, 3). Answer.

A:

Q: 8. Given the parallelogram ABCD below, with E and F the midpoints of sides AB and CD, AF||EC, and BP…

A:

Q: Find the unit vector having the same direction as v. ents v = 12i - 5j 12 13 13 12 ices u- 156i -…

A:

Q: Find the value of a so that vectors U = ai+6j and V = 6i+24j are perpendicular. %3D O a = -24 a =…

A: Two vectors are perpendicular if their dot product is zero.

Q: Here is a drawing of vectors a, b, and c. 18 ć Which equation correctly describes a in terms of b…

A: Given drawing of three vectors.

Q: Let u = a1i + b1 j, v = a2 i + b2 j, w = a3 i + b3 j. Prove the given property by obtaining the…

A: Given that, u=a1i+b1jv=a2i+b2jw=a3i+b3j

Q: B 2 and i = 6 Let y = Write j as the sum of a vetor in Span {ū} and a vector orrhogonal to ủ.

A:

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.