4 (2, 4, 3) (4, 2, 1)Z y 6.

Q: 2. (a) Calculate the position vector for P₁ and the displacement vector from P₁ to P₂, where P₁:…

A:

Q: Decompose v into two vectors,one parallel to w and the other orthogonal to w. ; v=-i+2j; w=3i-j

A: Given: Decompose v into two vectors,one parallel to w and the other orthogonal to w.  v=-i+2j;…

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. -2u

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Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well…

A:

Q: Write the vector u=<2,-3,1> in the form v+w, where v is a vector parallel to the vector…

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Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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Q: Find two vectors in opposite directions that are orthogonal to the vector        u = −(1/4)i + (3/2)…

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Q: Find the component of the resultant vector. u = v = Find: u +v

A: If the vector u=a1,b1 and the vector v=a2,b2 then the resultant vector u+v is; u+v=a1+a2 , b1+b2…

Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer.

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Q: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

A: We will find the modulus (norm) of the vector and divide the vector by the norm to find the unit…

Q: Evaluate the vector component of E =10â, - 6 â, +5â̟ that is parallel to F = 0.1⸠+0.2 â, + 0.3 â¸.…

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Q: A. Find the values of a such that vectors and are orthogonal .

A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 = (-3,0, 6) to P, = (4, 6,…

A: Let us consider the vector P=(a,b,c) and Q=x,y,z. The vector in the direction of P to Q is obtained…

Q: Consider the following. 10 Z 5 (4, 6, 7) 10 10 (4, 6, 0) (a) Find the component form of the vector…

A: We have to write the vector in component form as well as in standard unit vector notation form.

Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We have to find a vector equation with parameter t.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

Q: Find r so that the vector from the point A(1,−1, 3) to the point B(3, 0, 5) is orthogonal to the…

A: The vector from the point A(1, -1, 3) to the point B(3, 0, 5)            Is orthogonal to the vector…

Q: 1. A unit vector parallel to A - B. 2. The scalar A B × B. 3. The component of in the direction of -…

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: Find the coordinate vector of w relative to the basis S = {u1, u2 } for R2 u1 = (9, – 9), uz = (3,…

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Q: Find u + v, u − v, and 2u − 3v. Then sketch the resultant vector. u = 4,3    , v = -3, 0

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Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: Construct the vector 0.7 b+0.8 a having initial point P. (Use the tools provided to move and scale…

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Q: Find the magnitude of the vector V= (-1,3). 10 10 8 22

A: Given V¯=-1,3 To find magnitude of vector

Q: Find a vector orthogonal to both given vectors u and v . u=2i-3j +k  v= -3i +4 j +4k

A: Given, u=2i-3j +k  v= -3i +4 j +4k    We have to find the orthogonal vector to both given vectors u…

Q: 1. The vector x expressed in terms of the vectors w and u а) w — и с) w + u b) и — w м.п (р

A: …

Q: 17 (c) Find a unit vector which is orthogonal to the vectors -1 2 and 1 -3 5

A: First we will find a vector which is orthogonal to both given vectors and then we will find the unit…

Q: 2. Given the points X(-3, -1, 5) and Y (4, 4, -9): A. Write the position vector OX in vector form:…

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Q: Find a non-zero vector i perpendicular to the vector i

A: See the attachment

Q: 1. Find a unit vector in the direction of v =

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Q: 5) Find a unit vector that has opposite direction of the vector i - 2j + 4k.

A: First change direction of vector then find magnitude and write unit vector

Q: Find a vector equation and a parametric equation for the line that passes through the point (5, 1,…

A: We have to solve given problem:

Q: find the component form of the vector. The unit vector obtained by rotating the vector {0, 1}120°…

A: To determine the unit vector.

Q: What is the subtraction of Vector M from Vector T? M = 5 units T=4 units-

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Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: Find the components of the vector shown above. Vector =

A: From the Figure note that, the tail of the vector has coordinates -3,-4 and head has coordinates…

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 3u…

A: u=-3, 4 & v=2, -5 a). 3u-4v=3-3, 4-42, -5=-9, 12-8, -20=-9-8, 12--20=-17, 32

Q: What is the y component of vector a? Only provide an integer answer such as 0, 5, 10, etc. 10 10…

A: Start from the origin and count the number of blocks required in the direction of x and y axes to…

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: We need to find vector v for which  If, u = (−2, 3) and w = (−3, −2)

Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its…

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Q: Find the component form of the vector v given ||v|| 12 following the direction of u (3, –5) %3D

A: The vector v in direction of u can be found  blew step.

Q: Find the magnitude of vector v. Y -2 w X

A: We have to find the magnitude of v

Q: Find the vector component of v = 21-j+ 3k along b = 31 + 6j + 6k and the vector component Enter the…

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Q: Consider the following graph. (4,5) 2 (1, 2) 3 (a) Find the component form of the vector v. (b)…

A: Given vector is as shown below :

Q: Find the position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

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Q: find the component form of the vector. The unit vector obtained by rotating the vector {1, 0}135°…

A: The unit vector obtained by rotating the vector {1, 0}135° counterclockwise about the origin.

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, −1,…

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Q: Find the vector v, where u = (-1, 3) and w = :(-3, -1). v = u + 2w Illustrate the specified vector…

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Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 (-3,0,6) to P1 = (4, 6, –…

A: We have to find the vector and the unit vector(u) in the direction of the vector P2=(-3, 0, 6) to…

Q: 45. Find the components for each vector by resolving the vector into its horizontal and vertical…

A: