Let ū =< 2, 2, –1 > and v =< -1,0, 1 >. Calculate the following and answer the following questions: Find the unit vector in the same direction as ū.

Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

A: Topic = Vector

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 angle e between the vectors in radians and in degrees. u = 9i + 7j + k v = 7i - 9j (a)…

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Q: Find a unit vector in the direction of v. v = 12i - 35j

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Q: Find v e where ||v|| = 3, e is a unit vector, and the angle between e and v is 4.

A: Here given as  v=3, e is unit veactor.angle between e and uα=2π3.

Q: Find the direction angle of v for each vector. v = i + √3j

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Q: Find the unit vector e, if i = ( – 2, 2) ey =

A: Given: v→=-2, 2 To find the unit vector ev→ The formula to calculate unit vector is ev→=v→v→

Q: Write the vector v in terms of i and j whose magnitude||v|| and direction angle θ are given.

A: Write the vector v in terms of i and  whose magnitude||v|| and direction angle θ are given…

Q: А D. В

A: In the given image,  For first vector, direction is pointed towards point B, through A. So, this…

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

A: Given:a=0i+3j

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

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Q: Find a unit vector in the same direction as the given vector. C = 15i – j

A: I have Provided this answer in step-2.

Q: Find a unit vector that has the same direction as the given vector -5 i + 9 j.

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Q: find a unit vector in the direction of v. v = −8i + 15j

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Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the opposite direction of w.

A: Given vectors are v=-2i+j , w=4i+3j

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: Find the magnitude and direction (in degrees) of the vector. (Assume 0° s e < 360°.) v = 3 3 |v| =

A: our objective is to find the magnitude and direction.

Q: Write the vector v in terms of I and j whose magnitude 11v11 and direction angle are givens || v ||…

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Q: Draw a vector representing the following velocity. 10 cm/sec N 60° W

A: Let us draw a vector representing the velocity v=10cm/sec N 60°W

Q: Approximate the magnitude of the vector and the angle 0, 0° s e < 360°, that the vector makes with…

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Q: Find the unit vector in the same direction as v. v=i+ 4j + 5k

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Q: Let u = and J =. (a) Find the angle between i and i (b) Find a unit vector perpendicular to both i…

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° <0 < 360°.) v = 3i + 3/3j

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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 the unit vector in the same direction as v. v = 4i u= ai + bj + ck where a = (Simplify your…

A: Given vector v=4i rewrite v=4i+0j+0k

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0o s0 < 360°.) v = 3i + 3/3j

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

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° < 0 < 360°.) V2 % = 9 |v| =

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

A: Give vector v

Q: find the compoment form of vector v given ||v|| = 13 and the angle with positive axis is theta=300…

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Q: The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively. What angle…

A: The x-component is -3.00 mThe y-component is 4.00 mTo find, the angle made with positive x-axis.

Q: Find the magnitude and direction angle of the vector v. v = 13i - 13j magnitude direction angle

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Q: Find the unit vector having the same direction as V. V = -36i + 36j -18k j k

A: As per guideline we have solve one question

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: W =

A: By using magnitude and direction formula of vector, we calculate the required magnitude and…

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° < 0 < 360°.) y = 3 3 |v| =

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

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Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: we have to solve given problem:

Q: Find the unit vector in the same direction as v. v 8i-j u =

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Q: State the vector quantities shown on the image below. AB = ( CD = ( D.

A: Given query is to find determine the vector quantities.

Q: Find the component form of the vector v with magnitude 6 and direction angle 235°. O O O O O O O

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Q: Find the magnitude and the corresponding unit vector

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Q: Perform the following vector operations, if Ū = 31 – j and V = 5ỉ +2j: a. Ü+ÿ b. 3Ū c. Ü •V (dot…

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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 magnitude of the following vector. U = 8i + 15j

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Q: photo attached

A: The given vector is,

Q: Find the given vector. Unit vector ey where v = (9, 40) ev

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Q: Given the vector u= find |ū| and the direction of ủ.

A: We have the vector u→=-3,8. Then we have to find u→ and the direction of u→.

Q: Find the vector v with the given magnitude and the same direction as u   Magnitude v II v II = 5…

A: Consider the vector u=-1, 2. Compute its unit vector as follows. u^=uu=-1, 2-12+22=-1, 25=-15, 25

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

A: THE SOLUTION IS GIVEN BELOW

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.