7 Jlguu The cross product of two unit vectors is a unit vector ylgn

Q: 4. Use vector methods to find (a) the area of the triangle ABC where A(-2, -1, 1), B(3,-2, 1) and…

A: (a) Given vertices of the triangle are A(-2,-1,1) , B(3,-2,1) and C(1,3,-2)

Q: 4. (a) Find the unit vector that has the same direction as (3,4,0). (a) Calculate the distance…

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

Q: The vector u has length 16 and points at an angle of 25 The vector v has length 14 and points at an…

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Q: Find the length of the vector. v = (0, 2) ||v| = %3D

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Q: 5. Determine the value of a so that the vectors v = perpendicular. (a,3, -2) and v - (2, -2a, 1) are

A: Solve the following

Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w=bs 1, 6 lg are in the Same Plane

A: We have given that the vectors ,  u = 4 , -5 , 3  ,  v = -2 , 0 , -5  ,  w = b , -1 , 6 We know that…

Q: unit

A: To get the unit vector that is in the same direction as the original vector v, we divide the vector…

Q: a) Give an example of unit vector in R3.

A: Since  you have asked multiple questions in a single request we would be answering only the first…

Q: (a) Find a unit vector from the point P = (2,2) and toward the point Q = (7, 14). %3D (b) Find a…

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Q: 11) Use properties of vector to determine the value of the dot product å. b for the vectors ở = 21…

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Q: Calculate the cross products of the unit vectors i × k and k ×j. (Give your answers using component…

A: We have to write value of cross product of I x k and k x j

Q: 4. Find a unit vector in the same direction as the vector 8i- j+ 4k.

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

A: Given,

Q: 10. Find a unit vector in the same direction as PQ if P = (5, 4) and Q (3, 7). %3D

A: The solution is given as

Q: A unit vector along a

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Q: 1. Determine the dot product of the two vectors in the diagram.

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Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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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: Find the length of the vector. v = (0, 9)

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Q: 1. The vector x expressed in terms of the vectors w and u а) w — и с) w + u b) и — w м.п (р

A: …

Q: Find the length of the vector. v = (0, 9) /| || = %3D

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Q: Find the magnitude of the cross product of the given vectors. Display the cross product and dot…

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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: (a) Find a unit vector from the point P = (3, 3) and toward the point Q = (7, 6). %3D (b) Find a…

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Q: Give the  3 characteristics of a vector

A: Three Character of vectors are given:

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

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

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Q: 18. The sides of a rectangle are formed by vectors A and B with |A =2 and B = 5. Determine the area…

A: Explanation and solutions is given below...

Q: -8 Find the area of the triangle which is defined by vectors u = and v = -3 Area =

A: Solve the following

Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (15,7). ū = (b) Find a…

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

A: Concept:

Q: find a unit vector from the point P=(1,1) and toward the point Q=(5,4). u⃗ =   (b) Find a vector…

A: Please rate and feel free to ask any query about any part of the question.  Thanks

Q: www. 1 _ 5c = < KIN hond kis Qa G Find the components of the vector -5c based on the vector shown.

A: Given that a graph of the vector. Find the component of the vector -5c based on the vector shown.

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: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.

Q: Q.2B) Evaluation of IA-2B1 through define length of the vector [A] equal to and length of vector IBI…

A: Given.

Q: If u is a unit vector find the dot product of vectors u and w

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Q: tind a non-zero vector perpendıcular to the vectar u. Find the length of the vector R-

A: Consider two vector u→=ai→+bj→ and v→=ci→+dj→ if the two vector is perpendicular then the angle…

Q: Need ASAP

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Q: The vector v and its initial point are given. Find the terminal point. v = 4i – 9j Initial point:…

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Q: 9. Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: A vector perpendicular to both of the given vectors can be found out by finding the cross product of…

Q: 3. Find the unit vector that has the same direction as the vector perpendic- (4, -1, 3) and b=…

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Q: Three vectors are defined by position vectors defined as ā = 2i+ j-3k, b = -3i+2j- 4k and č = xi+…

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Q: he vector shown below as a combination of vectors u and i show

A: We have to write a vector which is linear combination of vectors u and v according to the given…

Q: 2 Ji Let v =(-2, 6 ) and a=(1 , 1 ) Find the vector component w=proj,v of v along a .

A: The projection of v along a is calculated as below

Q: 3)Using vectors to find the area of triangle ABC,ifA(1,1),B(0,0) and C(-2,-1).

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Q: Find The vector novmal to The vecton A=2i-3; Ans/ N= 3i+2j Note The normal vector to The vecton A=…

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Q: .Find two unit vectors parallel to the line x+y=20. . Find Find two unit vectors perpendicular to…

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Q: Determine a unit vector perpendicular to the plane of à = 2î – 6j – 3k and B = 4î + 3j – k| (b) Find…

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

A: