Two nonzero vectors are perpendicular if and only if their _____ _______ is equal to______.

Q: b) Give an example of 5 linearly independent vectors in R*, or explain why it is impossible to do…

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Q: 2. P.P, if P, is the point (1, 3) and P, is the point (2, -1). 3. OP, if O is the origin and P, is…

A: GIVEN : P1 = (1,3)               P2 = (2,-1) TO FIND : (2) P1P2 = ? (3) OP3 = ?

Q: Choose the linearly dependent vectors in R Select one: a. LIGI 2 -2 b. O d.

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Q: 2. Add the vectors by rearranging them and then sketching the resultant. u W a. Add the vectors by…

A: To add the vectors  we should sketch the x-y plane .

Q: A= and B = . Find a vector perpendicular to both A and 2A - BO O O none of the above

A: A vector perpendicular to A and B is :  C = A x B

Q: v x w = 0 if either v or w ( or both) is the zero vector or v and w areparallel vectors.

A: 1   V x w=0  V x w=0 if either V or w or bothis the zero vector .  Because if one or Both vector…

Q: (Boas, 3.4.17) Find three vectors (none of them parallel to a coordinate axis) which have lengths…

A: Let the three coordinates be A3,8, B3,4 and C7,4. Let us check that whether they form a right angled…

Q: Given the points A(1,2,3,) and B(2,-2,1) Find the Vectors A and B with respect to origin. Unit…

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Q: Nº1. Problem Show that the vectors u = 3i – 2j + k and v = 2j + 4k are orthogonal.

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Q: Which option is the right? Two vectors are linearly dependent if: -They have the same address -They…

A: Two vector are linearly dependent if in linear combination of v1 and v2 , not all scalar are zero

Q: / Answerr true or Satse VAngleo- I meet makes the vectors AB 6

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Q: Find a so that the vectors v=i-aj and w = - 10i+ 7j are orthogonal. a = (Type an integer or a…

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Q: Which of the following vectors MUST be linearly dependent? here a,b,c,d,e,f,g,h,i,j,k & l are real…

A: The objective is to find that which of the vector must be linearly dependent It is given that…

Q: 3 Find the length of the vector i -1 -5

A: For any vector x= [a  b  c] it's length is given by ||x||= √(a^2+b^2+c^2) Given vector x=[3  -1  -5]…

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

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Q: AD = and BD = . Find a vector perpendicular to both A D and 2A D - BO O O O O none of the above

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Q: Q2/ If Vi - 5i-j +k V: -j-5k V3--15i + 3j - 3k Three vectors in space. Find if any of V1, V2, and V3…

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Q: Given vectors u = 1.3i + 4.8lj and v = -7.4i + 2j, u and v are: Parallel vectors. O None of these.…

A: Given vectors are u=1.31i+4.81j and v=-7.4i+2jTo check if the vectors are parallel they should…

Q: If a, b, and c are three non zero vectors, such that axa= axc and a ·b = a·c, then it is true that b…

A: a→, b→ and c→ are three non zero vectors.  Given, a→·b→=a→·c→ a→·b→-a→·c→=0a→b→-c→=0Either b→=c→ or…

Q: Which of the following vectors are parallel :

A: Two vectors are parallel if one can written as linear combination of other.  As showing in the hand…

Q: a form for a vector neld in two dimensions such that all vectors are parallel to the y-axis, all…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  let the vector v is

Q: Which two vectors are orthogonal if given a =,b = and c =

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Q: 1. Use the vectors in the figure at the right to graph each of the following vectors on the plane…

A: Draw the correct vectors 2v & -3w than form the triangle sum.

Q: QUESTION 5 If 3 vectors V1, V2, V3 in R' span all of R3, then { True O False QUESTION 6 If 3 vectors…

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Q: If a and b are vectors with the same initial point and angle between them, prove that||a - b||2 =…

A: Consider the given expression as, a-b2

Q: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

A: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

Q: a State the condition(s) that a, b, c, and d must satisfy for the vector b to be 1 1 -1 and spanned…

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Q: 2 Let ū -1| and i = 1 -2 Find a value of x so that the vectors ū and v are parallel. x =

A: The solution are next step

Q: 2 -2 The distance between the vectors u= and V = 1 is: 2

A: Concept:

Q: Vectors (C)-« We have two vectors: a-(:) and b-) What is the resultant of -a plus b?

A: 64=a             58=b and we have -a as  -a=-6-4 now -a+b= -6-4+58 which is further equal to  -a+b=…

Q: , uand vare: Given vectors u = u and v are: Parallel vectors. Orthogonal vectors. None of these.…

A: Magnitude of u, u=232+-132+-232                             = 1Magnitude of v, v=232+122+-1162…

Q: Let G and H be the points G (2,9) and H (6,−5). What is the exact length of the vector HG?

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Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Suppose u and v are nonzero vectors. What is the geometric relationship between u and v under each…

A: Given u and v are non zero vectors.

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du

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Q: 7-8. Vectors in the same direction are always parallel.

A: 7-8     two vectors U , V are parallel if there cross product is zero.        now U*V = |U| |V|…

Q: 2 The vectors a and b are defined by a = 2 ) and b = (-2 Show that the vector 3a + 2b is parallel to…

A: 2. The two vectors are a=32-1    &   b=-3-24

Q: If two vectors a+b and a-b are parallel, then a and b are parallel. Select one: O True O False

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Q: Find a non-zero vector i perpendicular to the vectors 3 -13 and i = 4

A: Given problem:-

Q: -22 -18 and = 2 Find out the area of the triangle whose two sides are given by the vectors: v = 8…

A: Area =12v1×v2

Q: 9-10. Suppose there are three vectors in R? named vector a, b, and c. If a = b, and b = c, then a =…

A: We need to answer some true and false for  vector space R3  This is answered in the following step:

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du ;

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Q: Determine if the vectors t= %3D(-16, 24) and s= (3, 2). are orthogonal, parallel, or neither.

A: We have to calculate dot product and magnitude of the given vectors

Q: Vectors v=[2,-1,9] and s=[3,-3/2, 27/2] are opposite orthogonal equivalent collinear

A: The cross product of the given vector is: v×u=ijk2-193-32272        =i-272+272-j27-27+(-3+3)…

Q: 7 6. Find a unit vector in the direction of 1 3 1

A: The unit vector can be obtained by dividing the given vector by its magnitude. The given vector is…

Q: a) Express vectors G = psinpa,- pcospa, + pa̟ in rectangular coordinates. %3D

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.