6- Check if each of the following is orthogonal or not: i- A = ii - A = 1 1 [1 iii - A = 1

Q: How do you know that for all a, b, c, d: ax + bx will be orthogonal to cx? + d ?

A:

Q: define (2a - b + 4c, 3a-c, 4b + c) as a linear combination of three nonzero vectors

A: We have to define  (2a - b + 4c, 3a - c, 4b + c) as a linear combination of three nonzero vectors

Q: orthogonal

A: We have   u=111    and v=2-12 are two column matrices  . We have to find the value of  k so that…

Q: AB is orthogonal

A:

Q: 6- Check if each of the following is orthogonal or not: i- A = ii - A = iii - A =

A: We have to check the given matrix  is orthogonal or not

Q: Verify the orthogonality p

A: answer is in next step

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: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: Determine whether u and v are orthogonal, parallel, or neither.

A:

Q: Determine whether v and w are orthogonal given v=-5i+2j and w=2i-4j

A:

Q: Express the vector v = -12 -28 as a linear combination of x = 2 [² and y= -1 -6

A: We can write the answer in the below steps.

Q: Show that if u and v are orthogonal, then || u * v || = || u || || v ||

A:

Q: ii) Determine whether u and v are orthogonal or not.

A: Let x = <a, b, c> Given :-  x with magnitude 3 is in opposite direction to u. -u =…

Q: What is the staring point of the vector i = -3i + 2j, if the ending point is (-2, 1)?

A:

Q: Describe the translation that maps each preimage to its image in (a) coordinate notation and (b) as…

A: Given: To describe: The translation that maps each preimage to its image in (a) Coordinate notation…

Q: Determine whether u and v are orthogonal, parallel, or neither u = ⟨−3, 0, 9⟩, v = ⟨1, 0, −3⟩

A: Consider the following vectors: u=-3,0,9v=1,0,-3 u¯·v¯=-3×1+0×0+9×-3=-3-27=-30 The two vectors are…

Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

A:

Q: (2) Prove that if a + b and a – b are orthogonal, then a and b have the same magnitude.

A:

Q: Verify that it is orthogonal to both a and b. (a × b) · a = (a × b) · b = %3D

A: Given

Q: Determine whether u and v are orthogonal, parallel, or neither.

A:

Q: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

A:

Q: if vector AB =(-7i+3j+8k) and the point A= (-2,-2,6) find B

A: Given, AB =(-7i+3j+8k) and the point A= (-2,-2,6) Let the coordinates of B be (x,y,z) Now, AB = B-A…

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east

A:

Q: Find the cross product axb. 1+9k, b- 41-j+ 3k Verify that it is orthogonal to both a and b (a xb) (a…

A:

Q: 2 A : 10 %3| 0 -1 4

A: To find out solution of homogeneous set of linear equation of A's we have to find the solution of…

Q: Determine whether u and v are orthogonal, parallel, or neither.u = (1, −1), v = (0, −1)

A:

Q: Two vectors ñ and m are said to be orthogonal if ñxm3D0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9, 3), v = (-2,…

A: The given two vectors are u=9, 3 and v=-2, 6 We have to determine whether the given two vectors are…

Q: snip

A: Given Orthogonally diagonalize A=abba,If b not equal to zero

Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )…

A: Given problem:-

Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

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

A: Given : a = 2,5,-1b = 3,-3,k

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: Sketch a graph of each vector. 5) 27i – 36j 6) r= (3 V95, -21)

A: 5). Vector a→=27i^-36j^

Q: Check if each of the following is orthogonal or not: 1 [1 V2 Lo 1 i-A=D 기 ii – A = ii - A =6 v2 V2

A: We know that a square matrix of order n×n is said to be orthogonal if AAT=I  where I is the identity…

Q: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

A:

Q: Describe the translation that maps each preimage to its image in (a) coordinate notation and (b) as…

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

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = = (-2,…

A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

Q: Show that direction vectors of the lines 2 - 2 and L: are orthogonal.

A: The given lines are x-32=y+14=z-2-1  and x-35=y+1-2=z-32. The direction vectors of the given lines…

Q: Find all values of c so that (2, 1, c) and (c – 1, 2, 2c) orthogonal. are

A:

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: 6- Check if each of the following is orthogonal or not: 1 i- A = ii - A =- iil - A =-

A: Orthogonal matrix:  A square matrix A is said to be an orthogonal matrix if its inverse is equal to…

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

A:

Q: Determine whether u and v are orthogonal, parallel, or neither u = ⟨2, −3, 1⟩, v = ⟨−1, −1, −1⟩

A: Given: u=<2,-3,1>, v=<-1,-1,-1> To determine: Determine whether u and v are orthogonal,…

Q: Determine if the vector x̄=(-12i-j-5k) can be expressed as a linear combination of ū=(1,-1,0),…

A: The solution of the problem is given in the next steps.

Q: Determine whether u and v are orthogonal, parallel, or neither.

A: Given vectors are u=2,18 and v=32,-16 Given vectors can be written as: u=2i+18j and v=32i-16j We…

Q: Determine whether v = -2i + 3j, w = -6i - 4j are parallel, orthogonal, or neither.

A: Given;                 v=-2i+3j,  w=-6i-4j We say that 2 vectors are orthogonal if they are…

Q: ä = 27 + 6j – 4K, b = -3ï – 9j + 6K

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.