For the given vectors v and w find: (a) v+ w (b) w - v

Q: Given the points P, Q, and R, how do we know that the vectors PQ (cross product) PR is perpendicular…

A: Given that there are three pints in the plain P,Q and R.The cross product between PQ and PR is…

Q: For what values of b are the vectors and orthogonal?

A:

Q: For the given vectors u and v, find the cross product u × v. u = i + j + k,  v = 3i − 2k

A: Given the vectors u and v, u = i + j + k,  v = 3i − 2k

Q: For any vectors U and V, show that |U x V]? + |U• V]? = |U°|V[?

A:

Q: given two vectors v m which are perpendicular. under which condition is V+W perpendicular to V-W?

A: Since vectors v and w are perpendicular so, their dot product is 0

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: Let 0 be the angle between vectors A and B, find the value of the angle 0 when -6V3A × B = 18Ã. Ē

A:

Q: Given vectors u = 2xi + 9j and v = xi - 4j, find x so that u and v are orthogonal.

A:

Q: Use the given vectors v = 5i - 4j, w = -2i - j to find v.w and v.v

A:

Q: Given three vectors, u, v, and w, if u (v x w) = 0, what geometrical result can be concluded?

A: We have to conclude the result of u→.(v→×w)=0→.

Q: Suppose vectors v, w, and z sum to the zero vector. If v = 8.2i - 3.8j and w = 4.1i + 1.3j, find z.

A: We have to solve

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

A:

Q: Suppose that |u| = 10 and |v| = 7, and that u • v = -55. Find the angle θ between the vectors u and…

A:

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

A:

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: For what value or values of a will the vectors u = 2i + 4j - 5k and v = -4i - 8j + ak be parallel?

A: Given,

Q: If vector v is represented by an arrow, how is -3v represented?

A: Given: If vector v is represented by an arrow. To find: How is -3v represented?

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

A:

Q: Use the given vectors v = 7i - 2j, w = -3i - j to find v . w and v . v.

A: we have to find  v . w and v . v we have to find v = 7i - 2j, w = -3i - j

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v.w and v.v

A: Given          v=-8i-3j ,          w= -10i -5j

Q: GIven vectors =(-5,9) and v = (-1, 1), find u v. %3D

A:

Q: Given vectors u = and v =, find (u · v) v.

A: First we help to calculate dot product of U and v .

Q: Use the given vectors v = 5i, w = j to find v . w and v . v.

A: To Determine: Use the given vectors v = 5i, w = j to find v . w and v . v. Given: we have v=5i  and…

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: Given v=[2,-9] and w = [7,-8], what is 2w-v written as a linear combination of unit vectors?  please…

A:

Q: For the pair of vectors, find 4U +3V. %3D

A: In a product of one vector with a scalar quantity, the scalar quantity is to be multiplied with all…

Q: given the following vectors, find A * (B x C) A = [x]j - [y]k B = 2i + 3j Зі - 6k| %3!

A:

Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

A:

Q: For two nonzero vectors u and v, if u v=0 then u and v are parallel.

A: Given that u and v are two nonzero vectors   Dot product of two nonzero vectors u.v=|u|.|v|…

Q: If U1 and U2 are orthogonal unit vectors and V = aU1 +b U2, find V.U.

A:

Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

A:

Q: Reverse vectors u + v,

A: We simply follow parallogarm law for vector addition.

Q: Use the given vectors v = -6i - 5j, w = -10i - 8j to find v.w and v.v

A:

Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

A:

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C= ix - İy + İz Find the following:…

A: We have to find the vector

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v . w and v . v.

A: Consider the given vectors v and w. First calculate the dot product for v and w.…

Q: For the given vectors v and w find: (a) v + 2w (b) 3v – w (c) 2v 3 - -w + u 2

A:

Q: For any nonzero vector v, the unit vector that has the same direction as v is________ . To find this…

A: For any nonzero vector v, the unit vector that has the same direction as v: To find this vector,…

Q: Use the given vectors v = 7i - 2j, w = -3i - j to find v.w and v.v

A: The given vectors are v=7i-2j,w=-3i-j.

Q: Use the given vectors v = 5i - 4j, w = -2i - j to find v . w and v . v.

A: Consider the vectors  v=5i−4jw=−2i−j To find:  v.wv.v

Q: Given the vector u= find |ū| and the direction of ủ.

A: We have the vector u→=-3,8. Then we have to find u→ and the direction of u→.

Q: For this question, define the vectors v and w .

A:

Q: If a vector V has horizontal and vertical vector components with magnitudes  |Vx| = 9.8 and  |Vy| =…

A: Given:

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 =

A:

Q: Use the given vectors v = 5i, w = j to find v.w and v.v

A: Given :             vectors   v = 5 i  + 0 j         and    w = 0 i + 1 j          Formula:      If…

Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula

Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

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.