and the unit vector along the direction of u.

Q: Find a unit vector e, where v = (1, 2, 3). ev

A: Unit vector is a vector that has magnitude 1 For a vector v=<x, y, z>Norm of vector v is…

Q: Find the unit vector in the direction of <4,2>

A:

Q: Find the unit vector that has the same direction as the vector v = i + j.

A: For the vector ai∧+bj∧ ,unit vector is given by ai∧+bj∧a2+b2

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

A:

Q: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

A: We will find the modulus (norm) of the vector and divide the vector by the norm to find the unit…

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

A:

Q: Find the unit vectors that are perpendicular to U = and V =,

A: Given the vectors U→=2, 3, 4 and  V→=-1, 3, -5 We will find the unit vectors that are perpendicular…

Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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: Find the unit vector in the same direction as v = 4i - 3j. Then verify that the vector has magnitude…

A: Consider the following vector: v→=4i^-3j^ Consider the following formula: unit…

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: A unit vector along a

A:

Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i- 3j + k. Q.2

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = i+j - k.

A: here we use the formula , v→=-v→v→

Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

A:

Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

A:

Q: Find the direction angle of the vector u=

A:

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

A: u = <5, 3, 1> |u| = 52+32+12 = 35 Therefore the unit vector in the direction u is u|u|=…

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

A:

Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

A:

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = ± i + ±j - k.

A: Let u be the vector to be found. To find u, first we need to find the direction of the vector v. To…

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

A:

Q: 1. Find a unit vector in the direction of v =

A:

Q: ii. the unit vector in the direction of BC.

A: In this question we have to find the unit vector of in the direction BC

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

A: Give vector v

Q: Determine a unit vector perpendicular to both A=i+2j-3k and B=-2i-3j+k

A:

Q: Find a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Find the unit vector of u=.

A:

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

A:

Q: 10. Find the unit vector in the direction of u=2i+3j-k

A: Magnitude of u = sqrt (u1^2 + u2^2 + u3^2)   Unit vector direction of d => u/ (Magnitude of u)…

Q: Find the unit vector in the direction of the given vector a, and express it using standard unit…

A: Find the unit vector in the direction of the given vector a . vector a = 20i - 21j  . Here i…

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

A: Givena→=⟨4,−3,−4⟩

Q: The vector V = is an example of a unit vector.

A:

Q: Find a unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.

Q: Find the magnitude of the vector u =

A:

Q: Find a unit vector, u, in the same direction as vector v = .

A: Recall: Unit vector:  Let u→ be any vector then unit vector is            u∧ = u→u→

Q: Find a unit vector u in the direction opposite of (-1, –1, –10). U =

A: We have given a vector.  We have to a unit vector in the direction opposite of <-1, -1, 10>

Q: Find the unit vector u in the direction of the vector v=4(2, 1, 2).

A:

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

A: Given a vector v=<-2,2>. We need to find a unit vector in the direction of 'v'. Let's begin.

Q: Find a vector v parallel to u=−7i+j−6k and with magnitude ||v||=12.

A: Given,          A vector v parallel to u=−7i+j−6k and with magnitude v=12.

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

A: Given vector is -8, -4, -9 We have to find a unit vector u in the direction opposite of the given…

Q: What is a unit vector in the direction of u

A: Given,u= 40-3-12First calculate magnitude of u;So,  u=42+02+-32+-122                 =16+9+144…

Q: Find the unit vector u in the direction of v. Verify that u| =1. 12. (1,–6)

A: solution is given below..

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

A: For any vector a→, the unit vector in the direction of  a→ is a→a.

Q: . Find a unit vector in Let ā the direction of a -

A:

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: Let vector u = and vector v . Find the magnitude of 3u-4v. Round to one decimal place.

A: Let vector u= <3, 4> and vector v = <6, 7> then find the magnitude of vector 3u-4v.