If north is the direction of the positive y-axis and east is the direction of the positive x-axis, give the unit vector u pointing | northeast.

Q: If v = -2i + 5j, find a vector orthogonal to v.

A: Given v=-2i+5j We need to find a vector that is orthogonal to v. Two vectors are said to be…

Q: Find the unit vector in the direction of .

A: Given points are: P1≡32,72P2≡82,22 Then we get, P2-P1=82-32,22-72⇒P2-P1=52,-52

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

A:

Q: Write the following vector as a linear combination of the unit vectors i and j. (-4,Radical 2)

A: We need to the following vector as a linear combination of the unit vectors i and j

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

Q: s opposite direction to the vector u = .

A:

Q: Let v = (-3,5, –5). Find a unit vector in the same direction as v.

A: on solving this we get

Q: Find the unit vector in the same direction as the vector u = [4, –7]. Ex: 1.234 Ex: 1.234

A:

Q: If is a covariant vector in Cartesian coordinates x',x2.

A: In this question, we have covariant tensor (x1x2,x2x1) By using the transformation cartesian to…

Q: The unit vector in 2-space that makes an angle of π/3 with the positive x-axis is _____

A:

Q: Let å = . Find a unit vector in the direction of å

A:

Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with…

Q: A unit vector in the direction of the given vector is

A:

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: Find a unit vector in the direction of u = (3, 4, 5).

A: Given vector, u=3, 4, 5

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: find the component form of the vector. The unit vector that makes an angle u = 2π/3 with the…

A: Given vector is unit vector. So, magnitude v=1 Angle made by vector with positive x-axis is u=2π3

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

A:

Q: photo is attached

A: Given informationVector V = (-3, 5)

Q: 2. Find the unit vector in the direction of

A:

Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: In the given diagram, which is the equivalent of vector

A: sum of vectors of closed triangle is 0 if we choose one direction -- Here if choose anticlockwise…

Q: Is it possible to have ||u−v|| = ||u + v|| if u and v are nonzero vectors? Justify your conclusion…

A:

Q: Find the components of the vector ī, with |u| = 7.8 and 0 = 21.3°.

A: Given: To Find:  The components of given vector  Formula Used: The components of vector v with…

Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

A:

Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

Q: ) Let v = (-5,0, 5). Find a unit vector in the same direction as v.

A: Formula Used:- To find a unit vector in the same direction as v is 1) Find the magnitude of the…

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: If ï = (, 2), find a vector i that is perpendicular to ū.

A:

Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

A:

Q: Find a unit vector in the direction of u = (5, 3, 2).

A: Given vector is u=(5,3,2) Find a unit vector

Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

Q: If the magnitude of the vector u is √2 and its direction is 225°, then its components are:   (1,…

A: Solution of question as follows

Q: What is the angle between the vector i + v3j and the positive direction of the x-axis?

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: Calculate the angle of the resultant vector: x: [1.915+(-1.094)]=0.821N y: [1.607+3.007]= 4.614N

A: We have given the x and y component of resultant vector as x : 0.821 N y : 4.614 N So, it can also…

Q: Show that if A⋅(B×C)=0, the three vectors must lie in the same plane.

A: We have to show that if A ⋅ (B × C) = 0 then all three vectors A , B , and C lies in the same plane.…

Q: Suppose vectors u and v lie in the xy-plane (the z-component of each vector is zero). Now suppose…

A:

Q: Show that if x and y are two vectors, then

A: To show : If x and y are two vectors, then x-y≤x±y≤x+y Pre-requisite :  Cauchy-Schwarz inequality…

Q: What is the vector j?

A: We have to tell what is vector j   it is also written as j→

Q: Assuming vector B is 12 units long, vector 4B is:

A:

Q: Describe a unit vector in R^3 with the same direction as <1,0,7>

A: Consider the given point vector

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.

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.