3. fimdia a.A. vector.artheogenal.te. xv.and. Txw. b. A vectore.or.thogenal.b. und. SA ve.cton.of..length.lū].in.thew.direction h

Q: 4. Suppose the vectors u and w are in space R, then u - 2w and u+ 2w are perpendicular if (a) ju =…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

A:

Q: Determine whether given vectors spans in 3 R ? S = {(2, -1,4) , (3, -3,5) ,( 1,1,3 ) }

A: Given- S=2,1,4,3,-3,5,1,1,3 To Determine- Whether the given vectors span in R3 or not. Concept Used-…

Q: Suppose that u,v are two vectors such that Ju| = 3 and |v| = 4. Let 0 represent the angle between u…

A:

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: Let a=⟨−3,2⟩ and b=⟨2,−5⟩Find the angle between the vector, in degrees.

A: Let the angle between a and b is theta So,  We find a.b and |a| and |b| first

Q: Given three vectors, u, v, and w, if u (v x w) = 0, what geometrical result can be concluded?

A: We have to conclude the result of u→.(v→×w)=0→.

Q: (d) Let u, v, w be arbitrary vectors in R³. What does the set of all combinations, Cu + c2v + C3w,…

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Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: 12. Find the vector with length 5 and direction angles a = B = 120°, y = 135°. = 60°,

A: 12. Given that a vector with length 5 and direction angles α=60o, β=120o, γ=1350.

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? EN B 3 4 nob C…

A: Given:

Q: Three forces of 3200 N, 1300 N, and 2100 N act on a bolt as shown in the figure below. Find the…

A: Given: F1=3200 NF2= 1300 NF3=2100 N Theta1= 32 Degree Theta2= 54 Degree Theta3= 35 Degree

Q: 2) If A =,find grad(div A), where r is a position vector.

A:

Q: Under what conditions are the following true for vectors u and v in R2 or R3? (a) llu +vll = llull +…

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Q: a. Which translation vector represents the path of the ball from T tol DC? DC? b. What translation…

A: GIVEN :

Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

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Q: Given the following vector: u=(1,2,-4) and v=(2,3,5). Find the angle between u and v. And the unit…

A: Given vectors are u=1,2,-4 and 2,3,5. To find the angle between u and v and the unit vector.…

Q: Determine whether given vectors spans in R? S={(2,-1,4).(3,–3,5).(1.1.3)}

A:

Q: EX/ =3 pémy Hw.3.10© Is i, , T} a listardy independe.t sid? II t is a livearly depiardieu" set, dreu…

A: Linearly independent set: A subset v1, v2, ..., vn of a vector space V is said to be linearly…

Q: In the given diagram, which is the equivalent of vector

A: sum of vectors of closed triangle is 0 if we choose one direction -- Here if choose anticlockwise…

Q: Show that the vector v = ai + bj is parallel to the line bx - ay = c by establishing that the slope…

A: We first have to find the slope of the given vector and the line. If the slopes are equal then they…

Q: If å is a vector in the direction of S60°E, then draw its opposite vector and state the direction

A:

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? 2 В 3 4 A C

A: topic - polygons

Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

A:

Q: b) Find the angle (0) between vectors between s = [1, –5, 4] and t = [3,3, 3].

A:

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

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

Q: السؤال 4 If AIB then the angle between A and B vectors is All of the above is false .1 O TT II O…

A: If A⊥B, then find the  angle between A and B vectors.

Q: If u and v are vectors in Rn, what is the relationship between uTv and vTu? Are they equal? Justify…

A:

Q: The following vector is a unit vector: na-(- E E V6' 6 1 O True O False

A:

Q: Is the following statement correct? If A, B, C, and D are distinct nonzero vectors represented by…

A: A, B, C, and D are distinct nonzero vectors represented by arrows from the origin to the points A,…

Q: At approximately what angle should the tails of two unit vectors a and y be placed if 2+ 7 = 1.5 60…

A: It is given that x→ and y→are two unit vectors, x→=1y→=1 Let the angle between the given two vectors…

Q: For the triangle with vertices located at A(5,3,5), B(2,4,4), and C(1,1,1), find a vector from…

A: The midpoint of AB is obtained by taking the average of the coordinates of the points A,B.

Q: et the positon vector bc (t): Gompute He curuature KCE)

A:

Q: If u and v are vectors in Rn, what is the relationship between uT v and vT u? Are they equal?…

A: We are given the vectors,  u and v are vectors in Rn. Let us use the notations,…

Q: 7. Write the vector w in terms of u and v, given that the terminal point of w bisects the line…

A: This question is related to vectors, we will solve it using given information.

Q: Given these vectors find the sum of U+V (Question in the provided attached photo)

A: Given these vectors find the sum of u+v.    u=-4,-4 and v=1,8

Q: Let a 5? ER be vectors, Using ouly vector geome trk dechaiqnes, frove thaf geenne (+)+ご + で+) 07

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Q: 8. If the vectors in the figure satisfy |u| = |v|= 1 and u + v + w = 0, what is w ? u W V

A:

Q: Let ā = (4, 3) and b = (– 4, 4). Find the angle between the vector, in degrees.

A:

Q: b) Find the angle (0) between vectors between s [1, –5, 4] and t = [3,3, 3]. %3D

A:

Q: For the glare Find # Ptrtmetril turoush fusses vectors Caprescatatih te pont ,4,3) 2 contahs

A: Given: Point (1,4,3)Vectors:a=3,1,-1b=0,3,5

Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: Which polygon is the result of reflecting polygon 1 through AB, then translating the reflected…

A:

Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

A: Solve the following

Q: 3- Given a vector A (r 17.5, 0= 90°, o = 55") and vector B (r=17.5, 0= 40°, q = 55") the distance…

A:

Q: If v and w are two nonzero vectors and θ is the smallest nonnegative angle between them, then v . w…

A: Given: If v and w are two nonzero vectors and θ is the smallest nonnegative angle between them, then…

Q: 4.15. Given vectors u = and v =, find the projection of u onto v.

A: Proceed as shown below...

Q: Let a = (4, 1) and b (4, – 1). %D | Find the angle between the vector, in degrees.

A:

Q: If v = ai bj is a unit vector, then a? + b² = 1. %3D %3D O True O False

A: v=ai+bj

Q: 3. Describe the vector that translates DEF to D'E'F'. O (3,4) O (-3,-4) (4,3) O (-4,-3) ô -5 -4 -3…

A: