a. vu, v]. u| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj, u. - 21 - 4j + V 5k. u- -2i + 4j - V 5k

Q: Consider three vectors u = 3i +j+ ak, = 2i + bj +k, = -4i + (b – 2)3 + (b+ 8)k, where a and b are…

A: The solution are next step

Q: Q3:If the two vectors A= 3i +2j + 5k, and B= 2i - j+4k, they located in the x and y plane, find the…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: B) Given the vectors u = 7i+ 2j -k, v = 2i-3j-6k. Find the projection of %3D u onto v.

A: Using projection vector formula.

Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0,…

A:

Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

Q: Choose the option that describes the angle between the vectors u=2i+3j-5k and v= - 4j+k O acute O…

A: Question is solved.

Q: Find the area of the parallelogram that has the vectors u and v as adjacent sides, where ||u|| = 2,…

A: The area of the parallelogram is ∥u∥×∥v∥×sinθ=2×12×sinπ3=24×32=123   Here θ= the angle between u and…

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

A:

Q: If u = 5i - j+ k, v =j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

A:

Q: Verify that 2j+k is perpendicular to the plane I7, Find a vector perpendicular to the plane II, Find…

A: Given that the plane Π2 contains the point O, A and B and the plane Π3 contains the points O, A and…

Q: In the adjoining figure ū and V are unit vectors. Evaluate the following and input your numerical…

A:

Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

A: Given the vector A=-ax+2ay+3azB=3ax+4ay+5azC=2ax-2ay+7az

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

A:

Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: The angle between the vectors i = î + 2î – 4k and w = 2î + 3ĵ + 5k is - obtuse. Select one: OTrue…

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: / If A(1,23=1), B(3)6-7), C(233,-3),D(34-3), Cal culate the angle between the vector Projection of…

A: If vector a→ is projected on vector b→ the the formula of vector projection will be…

Q: Consider the vectors v = 6i + 3j and w = 2i - 5j. Blank 1: Find the dot product of v and w. Blank 2:…

A:

Q: Use the dot product to find the angle between the vectors v =i – 2j + k and w = i+j-2k. For which…

A: First we have to find the angle between the vectors v and w where v=i-2j+k and w=i+j-2k. For this,…

Q: Consider u, v, w € R'as u = 1 1 w = 2 Choose the vectors that have the HIGHEST cosine similarity. u…

A:

Q: Find the value of b so that vectors U = 5i +12j and V = 4i + bj are perpendicular.

A: Given :          U=5i+12jV=4i+bj

Q: If A(1,2.-1) B(3.6-7), c(2,3.-3) D(3.4,-3) Calculate the angle between the vector Projection of ÄB…

A: According to question given that A(1,2,-1)B(3,6,-7)C(2,3,-3)D(3,4,-3)Angle between a pair of lines…

Q: Find the following for the vectors u = - 6i + 7j + V2k and v = 6i – 7j - v2k. a. v•u, v, and u b.…

A:

Q: c) What is the cosine of the angle between the planes x + 2y – z + 1 = 0, and -x+ 3z + 1= 0? d) Find…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

Q: Find the angle between the vectors v and w v = (2, 1, 3)T , w = (6, 3, 9)T

A: We need to find the angle between the two vectors.

Q: Determine whether the given vectors are perpendicular. u = 2i, v = -i + 8j %3D %3D Yes No

A: The given vectors are u=2i and v=-i+8j

Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

A:

Q: B) Find the angle between the vectors V, = i - k, V = 2i – j+ k

A: The given vectors are v1⇀=i-k and v2⇀=2i-j+k

Q: Answer either A or B. A) Let V = 21 + 3j – k and W = -i - 5j – 6k, then find cos 0, where 0 is the…

A: Vector problem....

Q: The angle between the two vectors u = (4, 7) and v = (11 /2, 3 /2) computed via the cosine formula…

A:

Q: Consider the vector v = (2, y) in R?. If you rotate the vector by 90-degrees counter-clockwise, then…

A: Given,   v=2,y   in ℝ2.

Q: 2:/ If the vector u=-8i-2j- 4k & v 2i + 2j + k, find: a) v.u, vl, lu| b) vxu c) The cosine of the…

A:

Q: ind the component form of v, where u = 4i - j and w = i+ 4j. V = u + 4w ši + 3j ketch the vector…

A: We asked to find the vector component

Q: Q3: Find the angle between two vectors in space A = 41 – 2J – k and B = 4T – 2J + 4k (5 marks)

A:

Q: Q/ B/ If vector A = 3i – 2j + 7k and B = -i+j- 3k , find the area of triangular between vector A and…

A:

Q: If a = 2i+j-k, b=-i+2k, and c=i+2j-2k, (i) Find a unit vector perpendicular to the plane of a and b.…

A: Let two vectors be defined as x=x1i+x2j+x3k and y=y1i+y2j+y3k . The dot product of the vectors, x ,…

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

Q: (b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of…

A:

Q: Evaluate 1+ x2 + y?dS, where S is the nelicoid with vector equation (u, v) 0 < u< 2, 0

A:

Q: Find the angle between the vectors i + j + 2k and 2i - j +k

A:

Q: Which option is equal to the DOT product uV of vectors 3 u = 1 4 -4 26 24 N N

A: The given vectors are: u=314 and v=22-4 Multiply the numbers component wise to find the dot product…

Q: the angles between the vectors u = 2i - 2j+ k, v = 3i + 4k = O 84.2 O 40.2 O 48.2 80.3

A:

Q: ABCD is a parallelogram, where A, B and C have position vectors i + 2j – k, 2i + j- 2k and 4i – k…

A:

Q: Find the following for the vectors u = 6i + 9j + v2k and v = - 6i – 9j – V2 k. a. v•u, v, and u b.…

A: We have to solve

Q: Find the acute angle between the two vectors A = 2a, +a, + 3a, and B = ax – 3ay + 2a, by using the…

A:

Q: Q:: Find the area of parallelogram whose sides are a = 2i – 4j + 5k and b = i – 2j – 3k. Also find…

A:

Q: The angle between the vectors i =i+ 23 – 4k and vi = 21 + 3) + 5Å is acute. Select one: OTrue OFalse

A: Assume that v
and w  are two non-zero vectors. 1. If
v ∙ w &gt; 0, that is, v ∙ w is positive,…