Choose the linearly dependent vectors in R Select one: a. LIGI 2 -2 b. O d.

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

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Q: и Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

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Q: Find the magnitude of the vector AB A=(-1,-1) and B=(2, - 5)

A: The coordinates of the vector AB are found by subtracting the coordinates of the initial point, A…

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Q: Find the component form of the vector.The vector PQ , where P = (1, 3) and Q = (2, -1)

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

A: There are two ways to multiply two vectors The dot product produces a scalar quantity It has no…

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

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Q: Find c so that the vector v is orthogonal to W = ||

A: Given: v=1c. w=2-1 Vector v and w are orthogonal only if the dot product of vectors is zero.

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A: We know that two vectors u and v are said to be orthogonal if their dot product u . v = 0. Given…

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

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Q: Rewrite the following vectors in term of unit vectors а. ОP %3D (9, -2) b. 0Q = (7,0,8)

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Q: Determine if the vector v is a linear combination of the remaining vectors.

A: Given vectors are: v=123; u1=110; u2=011 If the vector v is a linear combination of the remaining…

Q: Find the area of the parallelogram that has the following vectors as adjacent sides. u = & v =

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Q: Find the unit vector that has the same direction as the vector v. 31

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Q: Let a and y 6 Find the vectors v = 5x, u = x + ÿ, and w 5a + %3D || ||

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Q: Find the magnitude of the given vector. (-1, 2, 2)

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

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Q: Find the magnitude of the vector AB A=(4, 1) and B=(-3,0)

A: Given that, A = (4, 1) B = (-3, 0) We have to find the magnitude of the vector AB.

Q: Write the vector as a linear combination of the unit vectors i and j.

A: Given two unit vectors i and j.  To write the linear combination of i and j.

Q: Find the vectors T, N, B at the given point where 0sts 2n. (1 3/3 8' r(t) =

A: We want to find the unit tangent vector , normal vector and Binormal vector

Q: . Given two vectors = w a = a2 show that

A: Given w→ = w1w2w3a→ = a1a2a3 We know that the cross product of w→ and a→ is w→×a→ = ijkw1w2w3a1a2a3=…

Q: Determine whether the vectors v1=[1 2 1]^T , v2=[10 2]^T and v3=[5 6 7]^T are

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Q: At what value of k are these vectors collinear?

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Q: Find the components of the vector ī, with |u| = 7.8 and 0 = 21.3°.

A: Given: To Find:  The components of given vector  Formula Used: The components of vector v with…

Q: sketch the vectors −→AB and −→P Q, and determinewhether they are equivalent A = (1, 4), B = (−6, 3),…

A: Given, A=(1,4), B=(-6,3) P=(1,4), Q=(6,3)     Sketch the vectors AB→ and PQ→, and determine whether…

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: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

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

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Q: Find the vector v with the

A: Given, the vector               v=3, and u=0, 3, -1, 1

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: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

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

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Q: Find a so that the vectors V=i-aj and w=2i+3j are orthogonal

A: Two vectors V and W are said to be orthogonal if their dot product is 0.    V.W = 0

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: Determine whether the vectors a = 2i-3j+ 5k, b 3i+j-2k and c=i-7j+12k are linearly dependent or…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Choose the linearly dependent vectors in R'. Select one: а. O b. O d. -2

A: The solution is given below

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

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Q: Show that the vectors v1, V2, and v3 are linearly dependent, where n- . -. 3 V2 = 5 and v3 = 6 Vi =…

A: The given vectors are v1=12, v2=34 and v3=56

Q: Reverse vectors u + v,

A: We simply follow parallogarm law for vector addition.

Q: Find the vector v with the given length and the same direction as u. ||v|| = 3, u = (1, 1) V =

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Q: Calculate the angle of the resultant vector: x: [1.915+(-1.094)]=0.821N y: [1.607+3.007]= 4.614N

A: We have given the x and y component of resultant vector as x : 0.821 N y : 4.614 N So, it can also…

Q: Assuming vector B is 12 units long, vector 4B is:

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Q: Find the distance between the two vectors. u = (4, – 8), v = (- 8,8) O A. 100 О В. 4 Ос. 20 O D. 400

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Q: b Write the vector b in terms of the other vectors. C.

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Q: find the component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -1)

A: The component form of a vector XY with X=x1,y1 and Y=x2,y2 is defined as follows: <x2-x1,…

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.