6. - 6 V1 = 3 , V2= %3D - 8 List five vectors in Span (V1. V2}.

Q: Find the vector with length 3 making an angle of 7π/4 with the positive x-axis.

A: Given that the vector with length of 3 makes an angle of 7π/4 with the positive x-axis.

Q: Find linearly independent vectors which generate al lutions of Ax = 0.

A:

Q: Find 3-dimensional vectors V₁, V₂, V, satisfying V₁V₁ = 4, ₁₂ = -2, V₁ V₂ = 6, V₂ V₂ = 2₁ V₂ V₂ =…

A:

Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Consider the given vectors. Cross product of two vectors is perpendicular to both the vectors. This…

Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector?…

A: Explanation:

Q: Find an equation of the plane that passes through the point P(-8, –3, 7) and has the vector n = (-8,…

A:

Q: How do I show that the vectors (1, 2), (0, 1), (-3, 4) are not linearly independent?

A: To verify that the three given vectors in the plane are linearly dependent

Q: Find two unit vectors orthogonal to both (2, 7, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Given that the vectors are 2,7,1 and -1,1,0.It is required to find the two unit vectors orthogonal…

Q: find the component form of vector RS with the initial point R(3,-2) and terminal point S(3,3)

A: From the given problem:   Initial point R3,-2   Terminal point S3,3   So the component form of RS→:…

Q: Dilate the vector (-3,5) by a factor of 3. ([ ? ],[])

A: Given vector: V=-3, 5 ……1   Also, Scalar factor is 3.

Q: The length of the cross product between the vectors k and -k is equal to the zero vector. Select…

A: Given that , the length of the cross product between vectors k and -k is equal to the zero is it…

Q: What is equation of the plane passing through the point A(-2,-1,-3) and paralleto the vectors a=3+2k…

A:

Q: 10

A:

Q: what is the parametric and symmetric eqvotions of the line that passes thrs point (4.-3,57 to beth…

A:

Q: Find the vector with length V17 and same direction as = (7,0, -6).

A:

Q: The vector v and its initial point are given. Find the terminal point. = (4, -9); Initial point: (9,…

A: Given

Q: Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

A:

Q: 2 The equation of the plane passing through the origin and containing the vectors -1 and has…

A:

Q: 1- Find the direction of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2).

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

Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

A:

Q: What is the component form of the vector with an initial point of (-2,5) and a terminal point of…

A: Given that ,  The vector with  Initial Point = (-2 , 5) Terminal Point = (7 , -3).

Q: 8. Find the scalar equation of the line passing through the point (1, 5) that has a normal vector…

A:

Q: Find two unit vectors orthogonal to both (1,-1,1) and (1,0,3)

A:

Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

A:

Q: a horizontal vector has initial point (-4,1) and has a magnitude of 7. What is the terminal point?…

A: The initial point of the vector is (-4, 1) and the magnitude of the vector is 7. Since it is a…

Q: Find an equation of the plane that passes through the point P(-5, –8,8) and has the vector n = (-8,…

A:

Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: Find an equation of the plane that passes through the point P(-8, –4, 7) and has the vector n = (-2,…

A: Given problem:- Find an equation of the plane that passes through the point P(-8, -4,7) and has the…

Q: Find two unit vectors orthogonal to both (5, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

A:

Q: If I was given two-equation of two planes. To find a vector parallel to the plane, do I take the…

A: Suppose the equation of two planes are given. Find out the corresponding normal vectors to the given…

Q: 3. find the length of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2)

A: Solution :

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

A:

Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

Q: The scalar equation of the plane with normal vector [4, -1, 9] and passing through the point (2, -1,…

A:

Q: Find the angle between the vectors (-8, –7) and (-6, 4). Carry your intermediate computations to at…

A:

Q: Is the set of the three vectors S linearly independent? Explain why. S = 2

A: From the definition, a set S=v1,v2,v3 is said to be linearly independent if the linear combination…

Q: Find the sum of the vectors (3,0,1) and (0,8, 0) and illustrate geometrically.

A: Solved below

Q: Find the magnitude of the projection of (- 1, 2) onto the vector (3, 5)

A:

Q: What helps to set of vectors linearly independent?

A:

Q: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

A: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

A: Solution:- If a vector is multiplied by a positive scalar, how is the result related to the original…

Q: Show thet direcion vectors of Tue Iae メ-3 レ り+ チ一て Laeメ-コ X-3 ソャ) Z-3 -2 are orthogohal

A: Direction vectors and orthogonality

Q: 2) Find the vector from the origin to the center of the sphere 2x² + 2y² + 2z2 + 4x - 4z = 0.

A: The equation of the sphere is, 2x² + 2y² + 2z² + 4x - 4z = 0 So, x² + y² + z² + 2x - 2z = 0 So, (x²…

Q: Find the area of a parallelogram with two sides identified by vectors from the origin to the points…

A:

Q: Suppose v is a nonzero position vector in xyz-space. How many position vectors with length 2 in…

A: Given that, v is a nonzero position vector in xyz-space.

Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector .

A: topic- equation of plane with point and normal vector

Q: Find the angle between the vectors (-5, 4) and (-3, -1). Carry your intermediate computations to at…

A: Solution:

Q: Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is…

A: Parallel vector will be multiple of each other  Perpendicular vector has dot products zero

Q: 1. The components of the vector, initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2). 2. The…

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.