- 2 - - 1 and a = Let u = -3 Find 1. The vector component of u along a 2. The vector component of u orthogonal to a

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: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

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…

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Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v…

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Q: Find the vector component of v = (4, – 1, 7) along b = (1,4, –8) and the vector component of v…

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Q: 1.13 8 Find (a) the vector component of F = 10a, – 6a, + 5a; that is parallel to G = 0.la, + 0.2a,…

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Q: Q#4: a) Find the area of the triangle determined by the points (2, 6, – 1).(1,1,1), and (4,6,2) b)…

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

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v…

A: This is a problem related to vector. Based on the general formula vector we will solve the question.

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: 8. Let u = (-5,2) and v=(4,4) find, a) u+ v

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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: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: A a В In the diagram OA = a, OB AB. = b and AP = АВ. a Given that OX = µOP, where u is a constant,…

A: From the given diagram we have                                          OA→=a, OB→=b, AP→=25AB→

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: 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: Find the vector component of v = (4, - 1, 7) along b = (1, 4, -8) and the vector component of v…

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v…

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:…

Q: 10. Let U = (-4, - 8) be a vector. Determine the direction angle 0 of the vector correct to the…

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Q: QUESTION 3 Let r(t)=(1-t?,5t,2t3). r'(3). Find the z-component of the vector

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Q: 3. Find a. the vector component of F = 10 āz – 6ā, + 5a, that is parallel to G = 0.1 a, + 0.2ā, +…

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: - The vector component of the force (3i- j + 2k)N in the direction of the vector (-4j + 3k) is A…

A: The solution is given as

Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2)…

A: Given a graph showing the vector.

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

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Q: ŤA(t) = 2t i + (8ť² – 7) j+ (5 – 4ť) k *B(t) = (t² – 1)i+ (5t + 1) j+ (t – 6) k

A: Given: The vector position of each particle A and B, is given respectively by…

Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

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

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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 vector component of v = (4, – 1, 7) along b = (2, 6, –9) and the vector component of v…

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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: 2 -2 The distance between the vectors u= and V = 1 is: 2

A: Concept:

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: Q8. Find the equation of the plane passes through the point (1,2,3), parallel to the vector…

A: We have to find the equation of a plane passing through a given point and parallel to two vector.…

Q: Find the vector component of v = (4, -1,7) along b = (1, 2, –2) and the vector component of v…

A: The vectors v=4,-1,7 and b=1,2,-2

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: 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 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: Given a the vector equation r(t)=(3+4t)i+(−2+3t)j+(−3+1t)kr(t)=(3+4t)i+(−2+3t)j+(−3+1t)k, rewrite…

A: We have to find

Q: Find the vector component of v = (4, 7) along b = (2, 6, –9) and the vector component of v…

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v…

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→-…

Q: Find the vector component of v = (4, – 1,7) along b = (2, 6, –9) and the vector component of v…

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Q: 1 Let v be the vector 2 . The vector of length 3 in the opposite direction as v is -2 Select one: а.…

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Q: 2 Let V = -1 What is the vector of length 2 in the opposite direction to V? -2 a) 2 -2 -1 2 b) -2 1…

A: Our objective is to find the vector which is opposite to be and of length 2.