Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨2, −1, 2⟩

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

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Q: Find the angle a between the vectors α= | and

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Q: Find the unit vector in the direction of v and verify that it has length 1.

A: If vector u is given, then the unit vector in direction of vector u is given as,

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 angle (in radians) between the 2 vectors U(-3, 4, -4) and V(1, 2, 2)

A: Given vectors are,               U(-3, 4,-4 ) and V(1, 2, 2 )

Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

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Q: Find the angle 0 between the vectors. u- (3, 2, 0), v = (-2, 3, 4) radians

A: u=3, 2, 0  &  v=-2, 3, 4 Now, u·v=3-2+23+04=0 Now the magnitudes is,…

Q: Find the angle θ between the vectors (a) in radians and (b) in degrees.

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

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

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

Q: Find the angle a between the vectors -5 and

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Q: Find a unit vector in the same direction as a= 0 i +3 j. i+ j.

A: Given:a=0i+3j

Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

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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 the unit vector in the same direction as v. v = 5i

A: Given, v=5i   The objective is to find the unit vector in the same direction as v.   The formula for…

Q: is The unit vector in the direction of v=(4,0,–3)

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Q: Find the unit vector in the same direction as v. a. = 21 –Î

A: Find the unit vector in the same direction as v.→v→=2i^-j^

Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

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

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Q: Find ||v|| and find a unit vector in the direction of v.v = (−1, 1, 2)

A: Now magnitude of v is ,

Q: Find a unit vector in the same direction as a= i + j.

A: Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: a^. It is given…

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

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Q: Find a unit vector u with the same direction as vector v =

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

A: It is given that, v→=(3,5)   It is known that a vector R→=ai^+bj^ can be written as, R→=(a,b). As we…

Q: and the unit vector along the direction of u.

A:

Q: Find the unit vector in the direction of

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

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: Find the angle 0 between the two vectors u = and v = .

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Q: Find the angle (in degrees) between the vectors u = and v =. Round to one decimal place.

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Q: Find the unit vector having the same direction as v. v= - 3i + 4j

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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: Find the unit vector in the same direction as v. v= 4i -j

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Q: Find the unit vector in the direction opposite (-2, –1). to y =

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Q: Find a vector in the direction opposite that of v = (1, –4) with magnitude 5.

A: The vector in the opposite direction of v will be -v. Then make that vector a unit vector and then…

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 in the same direction as a= 0 i + 4 j. . i + j.

A: Unit Vector: In Vectors, a unit vector is defined as a vector whose magnitude is unit i.e. 1. A unit…

Q: Find the angle e between the vectors. u = (0, 0, 1, 0), v = (3, 3, 3, 3) radians

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Q: Find the unit vector in the direction of v and verify that it has length 1. v = ⟨3 /2, 5/ 2⟩

A: Given vector is v=32,52. To find the unit vector in the direction of v and to verify that it has…

Q: v =

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

A: Cros product of two vector give third vector which is perpendicular to both vectors.

Q: Find the unit vector in the same direction as the vector u = [7,6]. Ex: 1.234 : Ex: 1.234

A: to find a unit vector in the direction of the given vector we need to divide the given vector by its…

Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: Find a unit vector in the direction of v = –i – 2j.

A: THE SOLUTION IS GIVEN BELOW

Q: 3. Find the unit vector that has the same direction as v =.

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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…