Find the dot product of the following vectors u and v.

Q: Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v= 2j. w=…

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Q: For what values of b are the vectors and orthogonal?

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Q: State whether the vectors are parallel, orthogonal, or neither. 5) v = 2i + j, w=i- 2j

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: Find a vector v such that v = 15 and v is in the same direction as –li + 13j

A: The solution is given as

Q: Determine whether the vectors u = and v = are perpendicular.

A: As we know that if the dot product of two vctors is zero then we can say that the vectors are…

Q: Find in terms of i and j the following vectors :

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Q: . Compute the dot product of the given vectors and find the angle between them: a) u = (3,7,-2) and…

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Q: Find the angle between the vectors, and

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Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Given the vectors below, find the dot product. u = [-1,3, 2, 0] v = [-6, –4, –2, 7] u·v = Ex: 5

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Q: Find the dot product of the following vectors u and 7.

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Find the components and length of the following vectors: i + j

A: Given vector is i+j. To find the component and length of the vector. Solution: In two-dimensional a…

Q: Given the vectors u = and v = , perform the operations below. %3D ü - =

A: We have given two vectors which are given by u→ = 3,7 and v→ = -9,-3. If two vectors  p→ = a,b and…

Q: Find the dot product of the vectors. V = i + 5j; w = -i + j = M.A

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Q: Sketch the following vectors, and find their components andlengths: i + j + k

A: The vector is i+j+k sketch the vector and find its length.

Q: Copy the vectors in the figure and use them to draw the following vectors.(a) u + v(b) u + w(c) v +…

A: Copy the vectors in the figure and use them to draw the following vectors :   (a) u + v (b).  u +…

Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) Given: v1=<-3,6>,…

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

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Q: Find the cross product of the vectors ä = and b = .

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Q: Find the angle a between the vectors and -3

A: The question is from the topic of vector algebra

Q: Find the component form of the unit vector v in the direction of the diagonal of the cube shown in…

A: Consider the given figure as

Q: Find the magnitude of the vector. U= 7i+24j

A: SOLUTION-

Q: Find the dot product of the given vectors. ü =-i +5j v=-6i-2j u. v =

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Q: Given the vectors below, find the dot product. u = [-9,7] v = [9, –8] u·v = Ex: 5

A: Dot product of two vectors is defined as component of one vector in the direction of another vector…

Q: Find the dot product of the given vectors ü=, ö=

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Q: Find three nonzero vectors a, b, and c such that a × b = a × c = 0but b = c.

A: Find nonzero vectors a, b ,c such that a×b=a×c=0 but b≠c. If two vectors are parallel then their…

Q: List as many equal vectors as possible for the diagram below: A B D E с

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Q: Show that each pair of vectors is perpendicular.    i + j and i - j

A: Given: u=i+j ,v=i-j

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: Find the magnitude of this vector U=9i + 12j

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Q: write the vector v in terms of i and j.

A: Given, Initial point P1=(6,2) Terminal point P2=(-3,4)

Q: C a

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Q: Find the angle θ between the vectors.p(x) = 1 + x2, q(x) = x − x2, ⟨ p, q⟩ = a0b0 + 2a1b1 + a2b2

A: +

Q: Find the dot product of the following vectors and 7.

A: Given: The vectors u→ and v→, where each box is 1 unit by 1 unit in size. To find: Dot product…

Q: Reverse vectors u + v,

A: We simply follow parallogarm law for vector addition.

Q: Given the two vectors u = & v =, find the following cross products: u x v and v x u

A: Given,          The two vectors are           u→=<0,2,1> and v→=<1,-3,4> .

Q: Perform the following operations on the vectors ū = (5, –2, 1), v = (-1, –2,0), and (3, 3, –4). w =…

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Q: Find the dot product of the following vectors u and 7. ū u v =

A: We can find the answer as below.

Q: Express the following vectors in terms of p, q and r. GF (a) (b) CF (c) OB (d) OD le) OC

A: There are two major laws used to perform vector addition. These are Triangle law of vector addition…

Q: Perform the following operations on the vectors (3, 2, −4), v = (-1, 5, −2), and = (0, 4, 2). ū = ū.…

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Q: За. й —; й —

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product…

A: We can find the dot product and other required answers as below.

Q: Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = 4i-…

A: We have to find whether the given vectors are parallel, orthogonal, or neither by using the dot…

Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula

Q: Find the dot product of the following vectors ū and v. %D

A: From the graph, the given vectors are: u→=-4,-5 (red) & v→=-3,4 (blue)

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) part Consider the given vectors 9i   ,   5i+4j Suppose the given vectors be  u→  and  v→ such…

Q: Find the dot product of v and ủ and determine if the vectors are orthogonal. a. ú = U = V • U. =…

A: For vectors to be orthogonal dot product must be zero . if u and v are vectors then u.v=0

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.