Use the vectors u = i + 6j and v = -3i - 5j. Find 5v + 2u.

Q: For the pair of vectors, find U + V, U - v, and 2U – 4V. U = (5, 1), V = (-6, 3) U + V = U - V = 20…

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Q: Photo attached

A: Given:

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3 4 4 3 3i-3i Ou=15i- 20j

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Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: For the pair of vectors, find U + V, U-V, and 3U - 4V U = (4,1) V =(-6,3

A: Given that  U = (4,1) V =(-6,3) To find U + V, U-V, and 3U - 4V

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

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Q: Find the unit vector in the same direction as v = 8i - 15j.

A: The vector given to us is  v = 8i - 15j

Q: For the pair of vectors, find 4U+3V. U= - 4i+4j, V = 4i+4j 40j O -4i+28j O 4i+28j O - 28i+4j -…

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Q: If v = 5i + 4j, find the vector -3v.

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Q: Express the vector in terms of the unit vectors i and j. 4) (4,

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Q: For the pair of vectors find 2U-3V

A: U=6, 6V=6, -62U=26, 6      =2×6, 2×6      =12, 12

Q: For the two vectors a = 7i-4j+2k and b = –6i+3j-5k find the scalar component, comp,b

A: a=7i-4j+2k & b=-6i+3j-5k Now, a·b=7-6+-43+2-5=-42-12-10=-64 & a=72+-42+22=49+16+4=69

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: Find the unit vector having the same direction as v. v=5i+-12j

A: Please refer to the image below.

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: photo attached

A: Given vectors are

Q: Find the unit vector in the same direction as v = 2i - 3j -6k

A: Given vector is v=2i-3j-6k. To find the unit vector in the same direction of the given vector.…

Q: Write a unit vector that points in the direction of the vector i+√2j+7k

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. Find a unit vector orthogonal to…

A: Find a unit vector orthogonal to both v and w.

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: Find the unit vector that has the same direction as the vector v = 3i - 2j.

A: Given vector is v→=3i-2j We have to find unit vector that has same direction as given vector.…

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

A: We have to find unit vector

Q: For the pair of vectors, find U + V, U – V, and 4U + 2V. U = -5i + 6j, V = 5i + 6j

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Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

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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: For the vector, find 2 -V, and 4V. V = 2i + 8j Your answ -v =-2i – 4j 4V = = 8i + 32j II

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Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the same direction as v.

A: A vector is a quantity that has both direction and magnitude and a unit vector is a vector that has…

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

Q: Use the vectors u = i + 4j and v = −6i − 9j. Find 3v + 4u.

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Q: Find the unit vector having the same direction as v. v= - 3i + 4j

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Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Find the angle O between the vectorS 3. and -2

A: Given: 34-2 &114 We can write given vectors as, u=3, 4, -2v=1, 1, 4 We know that,…

Q: Which two vectors are perpendicular to both å and b?

A: result of vector cross product of two vector is perpendicular to both the vectors.

Q: If v = 7i + 10j, find the vector 8v.

A: Given: v = 7i + 10j To find: The vector 8v.

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

A: 10,7 and -2,-75

Q: Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: Given that a→=j+2k,  b→=i-2j+3k   We know that the cross product of two vector is perpendicular to…

Q: 27-j+4k sī +2j-2k.

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Q: For the pair of vectors, find U + V, U – V, and 3U – 4V. U = (3, 1), V = (-6, 2) U + V = U - v = 3U…

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Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

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Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: For the pair of vectors, find U + V, U - v, and 2U – 3V. U = (-3, 0), V = (0, 2) U + V = U - V = 20…

A: Given vectors are Sum of vectors  u and v is Difference of vectors u and v is

Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: For the vector, find 1/2(V),−V, and 4V V= (-5,9)

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Q: For the pair of vectors, find U + V, U - v, and 4U + 2V. U = -6i + 6j, V = 6i + 6j U + V = U - V =…

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Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

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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.