Vectors What is the resultant of vectors a and b? ( A

Q: 1.9 Perpendicular unit vector* Find a unit vector perpendicular to A = (î + j- k) and B = j- 3k).…

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Q: hit vectors orthogonal to a = (3, 3, 0) and b = (- answer so that the first vector has a positive…

A: INTRODUCTION: The formula for the units vectors orthogonal to vectors A and B is given by, v1 and…

Q: angle betw 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the…

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Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨8, 0, 4⟩ and ⟨-8, 2, 1⟩

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Q: Find the area of the triangle with vertices (1, 7, -9), (-2,-2,-9), and (-3, 1, -8). Then find both…

A: The Given vertices are:-   A1,7,-9, B-2,-2,-9, C-3,1,-8   AB→=-2-2i⏞+-2-7j⏞+-9+9k⏞ AB→=-4i⏞+-9j⏞+0k⏞…

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector 3B + A. Sketch…

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Q: Vectors State the vector quantities shown on the image below. AB = ( CD

A: We write the coordinates of points as

Q: A vector with magnitude 9 points in a direction 160 degrees counterclockwise from the positive x…

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Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector B – 2A. Sketch…

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Q: Area of a triangle Find the area of the triangle in which the plane(x>a) + ( y>b) + (z>c) =…

A: Let, f(x,y,z)=xa+yb+zc-1∇f=1ai+1bj+1kk∇f=1a2+1b2+1c2   and p=kTherefore,∇f,P=1c=1c…

Q: 1) Parallel and perpendicular vectors Let u = 5i – j + k, v = j- 5k, w = -15i + 3j – 3k. Which…

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

Q: 15 Find a unit vector in the direction of 8 A unit vector in the direction of the given vector is…

A: Introduction: A unit vector is a vector having length unity. For a given vector, we can find a unit…

Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨1, 2, 3⟩ and ⟨-2, 4, -1⟩

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Q: Find the vector in the direction of ⟨5,−12⟩ with length 3.

A: Given that: Vector is in the direction of <5, -12> and length is 3.

Q: Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters…

A: The given figure shows three vectors A,B,C. These three vector have their angle measured from…

Q: Area of a Parallelogram Find the area of the parallelogram determined by the vectors u = (4, 1, 1)…

A: Given vectors are u=4,1,1 and -1,2,2. Area of parallelogram=u×v…

Q: a. u• v, |v|, [u| b. the cosine of the angle between u and v. the scalar component of u in the…

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

Q: Working with vectors Let u = ⟨2, 4, -5⟩ , v = ⟨-6, 10, 2⟩ , and w = ⟨4, -8, 8⟩ . Find the unit…

A: Given: u=2,4,-5, v=-6,10,2, w=4,-8,8 we know that unit vector u^ in direction of given vector…

Q: : Triangle with points P(1,-1,2), Q(2,0,-1) and R(0,2,1), find: 1. Area of the triangle. 2. a unit…

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Q: 24. Diagonal of parallelogram Show that the indicated diagonal of the parallelogram determined by…

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Q: Vector component of V and w are as follows. Find the direction of the resultant vector. v = (13.5,…

A: The resultant vector is the sum of two vectors.

Q: ecimal places.) u- (3,) v- (0,) (a) the norms of u and v ||u| - ||v || = (b) a unit vector in the…

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Q: se symmetric equations to find a convenient vector V12 that lies between any two points, one on each…

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Q: 2. What is the angle 0 between the straight lines AB and AC?

A: Solution

Q: collinear unit vectors and a is any vector, then (a . b) b + (a.c) с + [a. (bxc)/ Ъх cl] (b × c) =

A: Introduction :

Q: linear combination of the standard unit vectors i and j.

A: Given, Initial point (-4,6) Terminal point (7,-8) To find the linear combination of unit vectors

Q: Current Attempt in Progress Find unit vectors that satisfy the stated conditions. NOTE: Enter the…

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Q: work shoWN. 1. Let v and w denote nonzero vectors. Show that the vector v- aw is orthogonal to w V.…

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Q: Component Form of Vectors Express the vector with initial point P and terminal point Q in component…

A: 9The given vector in component form,  The component of vector in x-direction is ax. Magnitude of ax…

Q: Glven A = and B =. Determine the components, magnitude, direction angles of the vector 3B + A.…

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Q: vectors u = -2i+4j-√√5k and v= 2i-4j+√5k, find: 1. the vector proj,u 2. the scalar component of u in…

A: Here we will solve both the sub-parts step by step,

Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between…

A: Solution:- . Compute the dot product of the vectors u and v, and find the angle between the vectors.…

Q: area of the triangle with the vertices (1, 0, 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector…

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Q: 4- Parallel and perpendicular vectors Let u = 5i -j+ k, v = j - 5k, w = -15i + 3j - 3k. Which…

A: We will find which vectors are perpendicular and which are parallel as following.

Q: Cross products of unit vectors Evaluate all the cross products among the coordinate unit vectors i,…

A: Given- coordinate unit vectors i,j and k. To find-  all the cross products among the coordinate unit…

Q: Parallelepiped Find the volume of a parallelepiped determined by the position vectors u = ⟨2, 4, -5⟩…

A: Given vectors are: u = <2, 4, -5> v = <-6, 10, 2> w = <4, -8, 8> So the volume of…

Q: QI) Find the area of a triangle formed c't 2j-k. from- the two vectors a= e = 2i-j+uk.

A: Given two vectors are  a⏞=i+2j-kb⏞=2i-j+4k

Q: Find two unit vectors orthogonal to both = (4, 1, 4) and = (0, 4, 7). Give exact values (no decimals…

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Q: Vectors in the Plane u = (3, -2) and v = (-2, 5). Find the (a) component form and (b) magnitude…

A: As per our company guidelines we are supposed to answer only first 3️ sub-parts. Kindly repost other…

Q: Distance and Dot Products: Consider the vectors --(-7,-4,7) and v – (10, –9, -8). Compute |u||…

A: Given vectors are u =(-7,-4,7) And v=(10,-9,-8)

Q: 42. Area of a Parallelogram Find the area of the parallelogram determined by the vectors u = (4, 1,…

A: Area of parallelogram = u X  v

Q: nitial Point     Terminal Point (−1, 1)      (3, −4)

A: Given that  Initial point =(-1,1)=OA And terminal point=(3,-4)=OB

Q: a) Show that if v is any nonzero vector, then v is unit vector ll|| b) use the result in part (a) to…

A: A unit vector is a vector that having its length equal to one or in other words, the magnitude of a…

Q: a vector equation of the line AB Cartesian equation of the line 1, passing through a and d. A…

A: According to our company, we are supposed to answer only three parts of the question(4). For the…

Q: wo displacement vectors e smallest possible values of the magnitude of the resultant R = Ã + B? What…

A: The largest and smallest possible values are given below

Q: (Cross Product) Find a vector that is perpendicular to a = and b = %3D %3D

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Q: True or False: Given a vector v, the vector -v will have an opposite magnitude. A True B False

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Q: a) Show that if v is any nonzero vector, then v is unit vector b) use the result in part (a) to find…

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Q: Resultant of two vectors when they are forces.  I also have to find the equilibriant.  How do I do…

A: A resultant vector is a vector that gives the combined effect of all the vectors.When we add two or…