The orthogonal projection of the vector v =3i-j+k on the vector b 2i-j+k is

Q: The vector z = (2 + 2i) ( -V3 + i) lies in * the

A: The vector equation is z=2+2i-13+i.

Q: Find three mutually orthogonal unit vectors in R° besides +i, ±j, and tk. 3

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Q: Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

A:

Q: Find a unit vector normal to the plane containing v=2i+3j-k and . w = -2i - 4j - 3k.

A: Given: v=2i+3j-k  w = -2i - 4j - 3k.

Q: If vector u=2i+3j+4k is orthogonal to vector v=3i+2j-bk, then value of b is 4 1 2 3

A: Two vectors x , y  are orthogonal or perpendicular if x·y=0

Q: Find the magnitude of u xv and the unit vector u= 5i - 5i - 3k, v= 0 O A. 0; 5i - 5i - 3k O B. V59;…

A: Here we have, u=5i-5j-3k and v=0 We have to find the magnitude of u×v and the unit vector parallel…

Q: When decomposing the vector into the sum of two vectors the first is parallel to the other vector…

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Q: Find two vectors of norm 1 that are orthogonal to the vectors u = and v =

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Q: The projection of the vector ( i-j+5) onto the vector 2 i+ j + 4 k is

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Q: M contains the point with coordinates (0,0,1) 2 M is orthogonal to the vector 0

A: Introduction: The general equation of Plane is ax-x1+by-y1+cz-z1=0

Q: Find the projection ( Projee ) of the Vector. à = 2i +3j +3k on the vector %3D b= i-2j +K. %3D

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Q: Calculate a projection of vector B on A and prophecy of vector A on B. A = 4i - 3j + 2k.     B = 3i…

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Q: 24. Find v x w, where v and w are vectors of length 3 in the xz-plane, oriented as in Figure 16, and…

A: The vectors v and w are in the x-z plane. The cross product of both vectors will yield a vector…

Q: Find the unit vector in the direction of v = (3, −1, 2), and verify that this vector has length 1.

A: Vector v = (3, −1, 2) Such that,

Q: Let u = -2i + 3j, v = 6i - j, w = -3i. Find the specified vector or scalar 4u - (2v - w)

A: Given: u=-2i+3j , v=6i-j , w=-3i

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar u - v.

A: Given u=2i-5j, v=-3i+7j.

Q: ^2

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Q: Find the orthogonal projection of the vector (2,4) about the line L parallel to the vector (-1,2)

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Q: Find the unit vector u in the di rection of the vector v=2(2, 1, 2).

A:

Q: () 1 (b) Find the length of the component of the projection of the vector a = vector 6 = 2 () onto…

A:

Q: Let u = -2i + 3j, v = 6i - j, w = -3i. Find the specified vector or scalar 3u - (4v - w).

A: Given- u=-2i+3j,v=6i-j and w=-3i To find- 3u-4v-w

Q: 1 Find two vectors of norm 1 that are orthogonal to the vectors u = and v = 3

A: Given problem is :

Q: Show that the vector ñ = 2î – 3j is perpendicular (orthogonal) to the line 2x – 3y – 6 = 0.

A: to Show that the  given vector is perpendicular to the  given line

Q: Find the projection of vector u⃗ = −i + 5j + 3k onto the vector v = −i + j − 3k?

A:

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

A:

Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: Find a unit vector orthogonal to both u and v. u = 3i – 5j + 2k -k + 10 - V =

A:

Q: Find the vector projection of vector u onto vector v, and find the vector component of u orthogonal…

A: The projection of vector u onto v is given by projvu=u⇀v⇀v⇀2v⇀

Q: 6.) Find a vector equivalent to the vector PQ with its initial point at the origin. = (;-2), Q =…

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Q: Q3/ Show that the vectors (2i + 3j + 6k), (3i – 6j + 2k)and (6i + 2j + 3k) Are mutually…

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Q: True or False Of all of the possible scalar multiples of a vector v, the orthogonal projection of u…

A: This is a result which states that " Orthogonal projection of any vector a onto b is closest to a"

Q: 10. Let the vector v = 2i -3j + k, and the vector w = = -i+3j+ 2k. Find v x w.

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Q: Parametrize the line that passes through the point (1, 2, 3) rallel to the vector V = -3i +7k .

A:

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find a unit vector orthogonal to both u and v. u = -3i + 5j + 2k V + 1k 10

A:

Q: Determine the vector component of the vector 3i-4k on the vector 4j+3k.

A: Given two vectors are: a→=3i-4k                                    &    b→=4j+3k

Q: 2 Find The vector novmal to The vector A=2i-3;

A:

Q: Find the scalar and vector projections of b onto a. a = 3i - j+ 6k, b = j+

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Q: determine projection of the vector b = -1 1 1 on the space generated by the vectors {--E)--[ -[+]}…

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Q: 4. A unit vector orthogonal to A and whose representations are parallel to the yz-plane.

A:

Q: 8 Find the 3-dimensional unit vector in the direction: a 2i + 3k 6 -i+ 2j – k c 2i – 2j + k

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Q: Using the vectors from the previous problem, find the projection ul of v onto the vector u and find…

A: We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product…

Q: Let u = -i + j, v = 3i - 2j, and w = -5j. Find the specified scalar or vector: proju (v - w)

A: Given that, u = -i + j v = 3i - 2j w = -5j Then we get, v - w = (3i - 2j) - (-5j) = 3i - 2j + 5j =…

Q: Find the vector projection of b onto a when b =2i-4j+3 k, a 3i+j+2 k.

A: Given that: b=2i-4j+3ka=3i+j+2k

Q: Find the orthogonal projection of the vector b =-1 on Nul(A), where -2 -2 3 -10 A = 1 -1 2 3 1 -3 3…

A: For the solution follow the next steps.

Q: Find the given vector. Vector v of length 4 in the direction of = (-4, -4)

A:

Q: The scalar projection of the vector 7 = (-2, 3, 1) on 7= (2m, -1, 3) is -1. Determine the value of…

A: Follow next step

Q: 5) Find the scalar and vector projections of b onto a. a = 5i – k, b= i + 2j + 3k %3D -

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.