find the magnitude and direction of following vector products: a. A(1,3) X B (3,1) b. A(1,1,1) X B(2,3,4)

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…

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

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

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Q: nd the magnitude of the following vector. (-6, 4)

A:

Q: Find the components of the vectors u, v, u + v, and u - v, where u and v are as shown in Figure.

A: Given:

Q: Find the magnitude of each of the following vectors.     (0,5)

A: If v=ai+bj=a,b is any vector then magnitude of v is v=a2+b2

Q: Given that (A x B) x (C x D) = [A,C,D]B - [B,C,D]A, derive (A x B) x (C x D) = [A,B,D]C - [A,B,C]D…

A: To derive the second identity , assuming the truth of the first

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

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Q: photo attached

A: The vector is given by

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

A:

Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

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

A:

Q: A street vendor sells a hamburgers, b hot dogs, and c soft drinks on a given day. He charges $2 for…

A: A street vendor sells a hamburgers, b hot dogs, and c soft drinks on a given day. He charges $2 for…

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: Given:

Q: Given a vector X , then the magnitude ||-4 X|| equals: Select one: O a. 2 ||X|| O b. -4 ||X|| O c. 4…

A: Let a be a vector and c be a scalar. The norm of a scalar multiple of the vector is equal to the…

Q: Find the vector z, given that u- (9, 2, 7), 2,-1), andw = 0,-4

A:

Q: Find the vector z, given that u = , v = , and w = . z = 8u - 3V - -W 2 1. Z =

A: We have been given the vectors  u = <1, 2, 3> v = <2, 2, -1> w = <4, 0, -4>

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

A:

Q: Find the vector z, given that u = ⟨1, 2, 3⟩, v = ⟨2, 2, −1⟩, and w = ⟨4, 0, −4⟩.     z = 5u − 3v −…

A: Given: u=1,2,3, v=2,2,-1, w=4,0,-4 for finding given vector z, we use given values

Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

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

A:

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 component form of the vector v given ||v|| = 12 following the direction of u (3, –5)

A: Find the component form of the vector v given ||v|| =12 following the direction of u = (3,-5)

Q: Find the component form of the given vector. v = y 4 3 1 2 4 3.

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Q: Determine the magnitude of the following vector: V = – 1 V4 10 4 10

A: solution is given below..

Q: 2. Given the figure below, find a single vector that is equivalent to D B a) E-A tw IA tu F to G

A: given vector bundle

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list…

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

Q: 10 14 10

A: To identify a single vector that is equivalent to

Q: W =

A: By using magnitude and direction formula of vector, we calculate the required magnitude and…

Q: Given the vectors a=(1,2,3) and b=(1,−1,2), what is the dot product a⋅b⋅a?

A: Solution :- let a = (x1, y1, z1) and    b = (x2, y2, z2)  be any two vectors then their dot product…

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b.

Q: Find the magnitude of each of the following vectors.     (-7,0)

A: We have to find the magnitude of the vector: -7, 0 We know that if we have vector represented as a,…

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

A:

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

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Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

A:

Q: Given the vector component of D(2, – 6, - 5) and G(1,2,3), find the vector of D that is parallel to…

A: Given vectors D(2, -6, -5) and G(1, 2, 3) We need to find the vector of D that is parallel to G

Q: Given that a = (-10,9,13) and b = (14,–6,12), а. i) ii) compute the dot product. find a vector…

A: (i) Given  a→=-10i→+9j→+13k→b→=-14i→-6j→+12k→ Then,  a→.b→=-10i→+9j→+13k→.-14i→-6j→+12k→…

Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: we have to solve given problem:

Q: Find the magnitude and direction of the following vector products: (а) А(1, 3) х в(3, 1) (b) А(-1,2)…

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Q: in the same sets of axis express the following vectors a=i+j, b=-1+j, c=a+b, d=2a,and e=a-b

A: The vectors are:-

Q: Find a vector and unit vector perpendicular to each of the vector à + B and à – B , where à = ai +…

A: We have A→=ai+4j+bk  and B→=6k+i+2j Here a=0 and b=5 So, we have  A→=0i+4j+5k  and B→=i+2j+6k Now,…

Q: and the magnitude of the given vector. (-4, 4, 7)

A:

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

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

A: Given<-1 , 2>

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: It is known that any two vectors are orthogonal if their dot product is zero. The given vectors are…

Q: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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Q: Find a vector B for which that is parallel to A =-6i +3j –2k but has the opposite direction.

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Q: 6. Write the vector v in the form aî + bj , given its magnitude and direction. a. Il해 = 500, a =…

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Q: Find the addition of the vector using the component methods. 1. 9 m/s [N30°E] and 2 m/s [N 60°E].

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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.

A:

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.