Qe A Find the Vector 5 unit length the direction of vector perpendicular to the lane which passes through AC,2,3) B(3,2,5) and c (1,H,-1) .

Q: The position vector of a particle is r(t). Find the requested vector. The velocity at t 0 for r(t)…

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Q: Qe A) Find the vector 5 unit length in the direction of vector perpendicular to the iHane which…

A: We have to find the perpendicular vector first.

Q: Quèstion 9 Find the unit vector u in the direction of the vector v= 2( 5, 0, U = V 52 1 u = V В. 65…

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Q: Q2. 4 Consider the vector U and V -3 E R*, Find i. Dot Product of the two vectors U and 2 V ii.…

A: Please see the explanation below

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Express the vector in terms of it's length and direction. Velocity vector v = (-2 sin t)i + (2…

A: It is known that, if their is any vector, let's say vector A, then length of the vector A is defined…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B. N

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Q: 16. Which is the magnitude of the vector with an initial point (-3, -2) and terminal point (5, -8)?…

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Q: Q1: A force of 9 newtons is applied in the direction of the vector from P(1,0,1) to P2(3,2,0).…

A: According to the guidelines of bartleby I will do only first question please ask rest of the…

Q: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the iplane which…

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Q: f(r.y2)4ry t and u is the unit vector in the direction of (4, 2,-5), men the drectional denvative at…

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Q: (B) Find a unit vector u with positive first coordinate that is parallel to both planes. i+ j+ k (C)…

A: The equation of line of intersection is given as follows :

Q: Given velocity vector y= (e",4t°,-6sin3t). Find acceleration vector, a. (а) -,t“,2cos3t 2 e2…

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Q: (a) Find a nonzero vector orthogonal to the plane through the points P(0,- 2, 0), Q(4, 1, – 2), and…

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Q: The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are…

A: Given a figure showing vector a→ in the XY plane and vector b→ in the direction of k. Their lengths…

Q: b) Consider the vectors u = (2c, 2, −4), v=(c, c, 3)and w = (-1, 2, 3). Find the value(s) of…

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Q: of the component of the vector AP that is orthogonal to the vector AB. L A B Use the method above to…

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Q: Q5) Let f(x, y) = Find unit vector for which Duf(2,3) = 0. %3D x+y

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Q: Quèstion 11 Find the unit vector u in the direction of the vector v-4(2, 1, 2). 1 U = V OA. u = OB.…

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Q: The motion of a vibrating particle is defined by the position vector r = 10(1 - e-35i + (4e 2sin…

A: We will use here  d(u.v)= u d(v)+v.d(u) Which is know as derivative formula for product.

Q: (A) Find the unique point P on the y-axis which is on both planes. (B) Find a unit vector u with…

A: (a) ... Unique point on the  y axis on the both planes  On the y axis means, x and z=o  Which means…

Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Consider the vector w = n ^ (v ^ n) where n is a unit vector, and v an arbitrary vector. What are…

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Q: Find the magnitude of the vector v whose initial point is P(2, 0) and terminal point is Q(1, – 5).…

A: Proceed as shown

Q: 6. Sketch the vector w on the grid on the right and label its coordinates. Vectors and + w are…

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Q: a. Find the area of the triangle determined by the points P, Q,and R.b. Find a unit vector…

A: Calculate the area of the triangle with vertices P1,1,1, Q2,1,3, R3,-1,1.

Q: Let h(x, y) = x² + 3xy - 6y. In what direction does h increase most rapidly at the point (3, 2)? (a)…

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Q: Q3)A) Find the acute angle between the planes 2x + 2y-z= 3 and x + 2y + z = 2. B) Find a vector…

A: Q3) A)The given planes are 2x+2y-z=3 and x+2y +z=2.The normal vectors related to the planes are n1=…

Q: The position vector r describes the path of an object moving h space. Find the velocity v(t), speed…

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Q: Quèstion 12 Find the unit vectoruinthe direction of the vector v 3(2, 2, 1). = n V OAU 1 u = OB. V…

A: As per our guidelines we are supposed to answer only one. 12) Given:     Vector v=32,2,1…

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

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Q: Define the points P(0,0) and Q(6,2). For the vector PQ, do the following. a. Sketch the vector in an…

A: Follow the procedure given below for the same type of problem.

Q: A stone is thrown from a rooftop at time t=0t=0 seconds. Its position at time tt is given by r⃗…

A: Since you have posted multiple subparts of a questions, we will solve only first three subparts of…

Q: a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and b. find the…

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Q: Q1) Let a= 2 1 a) Compute a·b а. b) Find a unit vector u in the direction of a. c) Is a and b…

A: We have to find if a and b are orthogonal and find the disstance between them.

Q: et u = (4, 2), v = (1, 3), and w = (0,-2). Find the vector T that satisfies 10u - 0+ = 47 + w. In…

A: We have to find x

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

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Q: find the component form of the vector. The vector OP where O is the origin and P is the midpoint of…

A: Given points are R = (2, -1) and S = (-4, 3).First find midpoint P by using midpoint formula as…

Q: A particle travels in the plane with position vector r(t). Find (a) the velocity vector v(t) and (b)…

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Q: Q/ Find the Unit Vector perpendicular to the Plane 2X+22-4Y=3

A: An equation of a plane 2X + 2Z - 4Y = 3 To Find: Unit vector perpendicular to the  given plane…

Q: Find the magnitude and direction of the vector w= (-1,-v3). Select the correct answer below: J Tw] =…

A: To find the magnitude, or length, of a vector, take the square root of the sum of the squares of…

Q: (b) Oppositely directed to 6i – 4j + 2k. 6 i v = V56 2 k + V56 V56 (c) Same direction as the vector…

A: Given problem:- Find unit vectors that satisfy the stated conditions. (b) Oppositely directed to 6i-…

Q: Find the magnitude of the vector v whose initial point is P(1, – 4) and terminal point is Q( – 2, –…

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Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A: Given r(t)=ti+5tj+3t2k

Q: [2] |W1 = |2 W2 = |2 [3] The angle of the vector u perpendicular to the plane formed by the vectors…

A: Note that the cross product, or, vector product of two vectors is perpendicular to both the vectors.…

Q: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the lane which passes…

A: We have to find the normal vector first.

Q: Q/ find the vector whose length -2 and its direction (60°) with x axis u i+ V = 1 i + V3 j j, V = 1i…

A: To find the vector whose length=2, and its direction 60° with the x‐axis.

Q: Find a unit vector that is parallel to the line x=1+2t, y= 1-3t, z= -2+t. 3 i+ 14 रंचा रत्र 1 -k 3…

A: Given line is                                           x=1+2ty=1-3tz=-2+t Point on the line is (1,…

Q: Find a unit vector u in the direction of v = (3, 4). Find a unit vector U that is perpendicular to…

A: The magnitude of v is: