C. If a =< 3,0,-4>.Find a vector b such that compab = v2. %3D

Q: Suppose A and B are non-zero vectors in R. If A•B = 0, then A and B are parallel. True False

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Q: b) Prove that if b e R" is any vector, then b . X +b.a.

A: I have given the proof by using only definition of convergence of sequence

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A: We know if a vector P→ is orthogonal to another vector Q→ then scalar product (dot product) is zero.…

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A: They will be linearly independent if  a(1, 1, 3) + b(0, 2, 1) = 0  results in trivial solution only…

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A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

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Q: What are the components of vector a, given the following information

A: Components of a vector  :ax=|a|cosθay=|a|sinθNow Vectora→=ax,ay

Q: C. If đ =. Find a vector b such that comp,b = v2

A: Scalar projection of b→ onto a→: Scalar projection of b→ onto a→ is given by, compa→b→ = a→ · b→a→.…

Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: If r(t) = acoswt+bsinwt, where a and b are constant vector, show that  r(t)xr'(t)=wa x b

A: Given: rt=acoswt+bsinwt where a and b are constant vectors To show: rt×r't=wa×b.

Q: 1. Determine the component of the vector shown. P 180 N y 35° 0.

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Q: Suppose that the vectors below have the following components: a = b= č = What is the exact value of

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Q: Find the next vector spacing and wrap A = 1(x + y?) +jv² + zx) + k(z? + xy)

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Q: 3 (c) Let ¤ = Find the vector in col(A) which is closest to T. 2

A: Consider the matrix  A=[1-1414-21421-10]We first see whether the colums of A are linearly…

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Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

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Q: Which of the following vectors represent a + b, if a and b are given as below? b a a) b) c)

A: Given : Vector a and vector b is given

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Q: al of the vector î + xj along t

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Q: One of the following vectors lies in span{ 2+x + æ2, 3+-2a2} (A) 5 + 3x + 4x2 (B) 5 + 3x + 5æ? (C) 5…

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Q: H.W 8- Find a vector in the opposite direction of a = (4,10) but as long. 4

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Q: 3. Use the given rectangular prism to state a single vector that is equivalent to a) BC + GH A B D E…

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Q: Show that the vector v = ai + bj is parallel to the line bx - ay = c

A: Find the slope of the given vector v=ai+ bj is given by ba.

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Q: Consider the vectc 5, as shown in the Write the vector in , where a and b ar places.

A: It is given that the magnitude of the vector is. =5 and the points are  (a,b)

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: 16. Consider this regular octagon. If AB =d and BC =v, express each %3D vector in terms of u and v.…

A: Considering OD on x-axis. Angle at center O made by any side of regular octagon is 45degrees.

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Q: Let V be a Pinite-diemeniond Vector

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Q: Let b be a vector in Rm satisfying the following equation. 8 b -5 Then m = and b =

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Q: Consider the vectors x"(t) = (10) and x"() - 8t

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A: 1)from the triangle law of addition  when two vectors are moving one by another then the third…

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Q: Consider the following vectors á = 2ī+3j and b = -2ī+ 3k and c = −3ī + k

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Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

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Q: Let 7 =, if the vector w is in the opposite direction of the vector 7 and w= 3, then u

A: The given vector is u→=3,-4,2, the vector w→ is in the opposite direction direction of the vector…

Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: ind the norm of x and the unit vector u in the direction of a if -5 * = ||| = %3D 2 2

A: The norm of a vector A→=abc is defined by A→=a2+b2+c2.

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Q: Show that LM = 2AB.

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Q: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

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