Qe A Find the Vector 5 unit length the direction of vector perpendicu lar to the tane which passes through A(12,3) (1,H,-1) B(3,2-5) and c (!,4,-1).

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: 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 directional derative of f at the point P0(1,1) in the direction of the vector A = 3i - 2j…

A: Direction derivatives at (1,1) is given in direction of A = 3i - 2j.

Q: (a) Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin(x) at the…

A: Given: y=8sinx and the point π6,4.

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: I L is a line in 2-space or 3-space that passes through the points A an 3, then the distance from a…

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Q: 1. Find a unit vector perpendicular to the line passing through the points (1, 0, -3) and (2, 1,…

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

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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: 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: H-w find the vector whosp Leng th is 10 and Sum of it's components is uinimum?

A: Here first we form a function f that should be minimised and a condition g=0 which is followed by…

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: (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: Q3 – A// If P(1,2,-1),Q(2,-1,1) , R(-1,-1 ,2) are three point in space. 1- Find the vector…

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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: the curve with the given vector equation. Tndicate with an arro w the direction in which t ncreases…

A: Given that:  r(t)=<t, 8-t, 2t>

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: The moment vector m the force p [1, 2, 3] about the point Q(1, 2, 3) acting along the line passing…

A: The moment of force is given by m⇀=r⇀×F⇀ where F⇀ is the force vector and r⇀ is the radius vector.…

Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²…

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Q: 3. The line through the point (2, 2.4, 3.5) and parallel to the vector 3i+j - k Answer +

A: The line through the point (2,2.4,3.5) and parallel to the vector 3i+j-k is .

Q: 2) Let two vector functions be defined by r₁(t) = (2t, t², t²) r₂(t) = (sint, sin(3t),5t) a. Find…

A: a. Consider the given vector functions, r1(t)=2t,t2,t4r2(t)=sint,sin3t,5t if two vector function…

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

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Q: c. For that sum vector c find the magnitude and angle with positive direction of x-axis of the…

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

A: In the question we have to find cross product and direction.

Q: The moment vector of the force p = [1, -2, 3] about Q (1, -2, 1) acting on a line through A:(2, 1,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The vector PQ has initial point P(1, –3) and terminal point Q(4,-6). Find the magnitude and…

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

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Q: ion 2. Find the domain of the vector function r(t) = (√5 – t², 1⁄2, et). t-

A: A  vector-valued function, also referred to as a vector function, is a mathematical function of one…

Q: (c) Forces 2i + j,2i – 3j + 6k and -i+ 2i – k act at a point P, with position vector 4i – 3j – k.…

A: Let us consider the force of resultant F→ be obtained at point P the vector moment of the resultant…

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).…

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Q: A. Find the vector equation of a line tangent to r(t) = (t², t², t³) at t = 1. B. Determine whether…

A: A parametrization of the line through a point a and parallel to the vector v is l(t)=a+tv. Setting…

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

A: The given points are P(1,0,1), Q(-2,1,3), R(4,2,5)  a) Obtain the non zero vector orthogonal to the…

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: (5) Find the vector equation of the line that passes through the point (1,5) and is parallel to the…

A: Answer

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: Q.2B) Evaluation of |A – 2B| through define length of the vector JA| equal to and length of vector…

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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: Two vector fields are F = -10ax + 20x(y – 1) ay and G = 2x²y ax – 4ay + Zzaz. For th point P(2, 3,…

A: Given- Two vector fields are F = -10ax + 20xy - 1 ay and G = 2x2y ax - 4ay + zaz To find- For the…

Q: IV1 ns of and UJ. Find a unit vector that has the same direction as a. u = 8i - j + k 6. v = [−2, 1,…

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

A: According to bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Q4) 1- Find the area of the triangle determined by the point P(1, -1, 2), Q(2, 0, -1), and R(0, 2,…

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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:

Q: 2i + j + 3k 14 direction of a = 2i + j + 3k b= Select one: O True O False is the unit vector in the

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