We say that two vectors are equivalent .if they have the same components

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Find the unit vector in the direction of <4,2>

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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…

Q: If the vectors a=(2,5,-1) and b3(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: Let a = (-1; 3; 2) and b = (4; -2; 1). Find two unit vectors orthogonal to both a and b. Are the…

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: Find the unit vector of A=3ax+2ay-3az

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Q: sketch the vectors AB and PÓ, and determine whether they are equivalent. А %3 (1,4), В %3 (-6, 3),…

A: Given points are: A=1,4 ; B=-6,3 ; P=1,4 ; Q=6,3 We have to determine whether the vectors AB→ and…

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

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Q: 5. 3 2 tu

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Q: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: Find the magnitude of the vector. (-3, – 7)

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Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

Q: 1. Determine the dot product of the two vectors in the diagram.

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

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Q: Draw an example of two opposite vectors that are not parallel or explain why such vectors don't…

A: To find: Two vectors opposite in direction which are not parallel. or, Explain why above two vectors…

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: Find a single vector that has components of 42 m north and 16 m east.

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Q: what if it was the same vector, but 5y^2j?

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Q: If vector a=AB, vector b is BC, and vector c is CD, what is a+b+c using capital letters to write the…

A: Given a=AB→, b=BC,→ and c=CD→

Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: 2. Find the cross products of the vectors in the diagram above.

A: The concepts to be used: (i) The components of vectors can be written in terms of cosine and sine.…

Q: (a) How do you tell if two vectors are parallel?

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Q: own your onw word, meaning for two vectors to be parallel?

A: Vectors are parallel if they have the same direction Both components of one vector must be in the…

Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: Find the "unit vector" for (3, 8)

A: The magnitude of a unit vector is 1 .

Q: Two nonzero vectors are perpendicular if and only if their _____ _______ is equal to______.

A: Given:Two nonzero vectors are perpendicular if and only if their ______is equal to ______

Q: Find the angle between the vectors ā = and b = . [Nearest degrees]

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Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: Find the unit vector with the opposite direction of a⃗=(8,−10,3,−1,9,3)

A: We have to find the unit vector with the opposite direction of a→=8,-10,3,-1,9,3.

Q: Find the angle between the vectors. a=(3, 4, – 2), b=(0,1,2)

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Q: Find a unit vector that has the same direction as the given vector. (-8, 8, 4)

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Q: Find the magnitude of the vector AB A=(-2,3) and B=(3, - 4)

A: A vector has both magnitude and direction. The direction of a vector is indicated by an arrow.…

Q: Find the magnitude of the vector (9, 12).

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Q: Let a = (-1; 3; 2) and b = (4; -2; 1). (b) Find two unit vectors orthogonal to both a and b. Are…

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Q: Find the unit vector with same direction as  ⟨ 6, 11 ⟩

A: We find the magnitude of  ⟨ 6, 11 ⟩ first

Q: Find a vector of magnitude 4 that has the same direction as a = (-3, 7)

A: Given : The vector say (v→) has magnitude 4 and It has the same direction as a→=-3, 7 We have to…

Q: a-(:) We have two vectors: a = and b= What is the resultant of -a plus b? (

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Q: The number of elements in a vector generated by [4:0.1:13] is

A: We have to find the number of elements in a vector generated by  [4 : 0.1 : 13].

Q: If we were to decompose the vector , what would be the vertical component?

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Q: If two vectors have the same magnitude, then they are equal.

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Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: Find a unit vector that has the same direction as the given vector. ‹-3, 3, 4›

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.