If ū = -4i +3j is a position vector, v = i - 2j , and w=ū+v. a. Draw u (as a position vector), ở and w on the same graph. Calculate 7u – 2v Jse Dot Product to find the angle (in degree) between u and v (Round the answer to two decimal places)

Q: Find the magnitude and direction (in degrees) of the vector. v = 4i + 4V3j

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

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Q: Find the component form for the vector with the given magnitude and direction angle of |v| = 4.8, 0…

A: Given query is to the components of vector v.

Q: u = 700i + 500j

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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: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0,…

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Q: Find the unit vector in the same direction as v = 8i - 15j.

A: The vector given to us is  v = 8i - 15j

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

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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: Draw the vector V that goes from the origin to the given point. (3, -4) y -6 -4 -12 2 -4 -2 -2 -4 y…

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Q: Find the unit vector having the same direction as v. v=5i+-12j

A: Please refer to the image below.

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

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Q: Find the angle between the vectors u = 2i +j+9k, v = 6i – 12j and sketch the vectors and the angle…

A:

Q: Find the direction angle of v for each vector. v = 6i - 4j

A: Given vector is: v = 6i - 4j We have to find the direction angle of the above vector.

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: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

A: Given : v⇀=20 @85°radius r=20angle θ=85 To convert it into rectangular coordinates we use formula…

Q: Given that a =-i+j+k, b3D2i+j-4k and c= 3i-5j+k, find a vector in the direction as (-a+3b-c) and has…

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Q: Find the unit vector and noim of V= 31 +5; -9k .

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Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: Suppose that the magnitude of vector u = 5 and the magnitude of vector v=7 and the dot product of u…

A:

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

A: The vector is v=-33i+3j The standard form of vector is v=ai+bj By comparing we get  a=-33 and b = 3…

Q: Given the vector u→=⟨-4,-6⟩, find the magnitude and angle in which the vector points (measured…

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Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

A: We have to find unit vector

Q: Find the unit vector that has the same direction as the vector v. v = 8i – 6j

A: To find the unit vector we divide the given vector by its magnitude where resultant vector is unit…

Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: Find the magnitude and direction angle of the resultant of each pair of vectors. t = (17, 12) u =…

A: We use vector additions.

Q: Find the angle 0 (in degrees) between the vectors u = -2i - 2j v = -31 + 3j

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Q: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

Q: Find the vector V with the given magnitude and in the same direction as " M-;; -( 5 u = 4 - 6, 8)

A: We have to find vector

Q: |미350, | w|= 12, 0=35° A) B) W W

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Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

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: 1. Find the angle that the vector V = makes with the positive x axis.

A:

Q: Find the angle between the vectors u = 3i + 2j + k, v = 2i − 3j (a) in radians and (b) in degrees.

A: Vector: u=3i+2j+k v=2i-3j u=<3,2,1> v=<2,-3,0>

Q: Find a vector w that bisects the smaller of the two angles formed by 15 i + 8 j and 40 i – 9 j. w =

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Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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Q: Find the direction angles of the vector. V = -3i + 2j - 4k

A: The given vector is v=-3i+2j-4k

Q: w, and z head to tail as needed to sketch the indicated vector. 3 w

A: NOTE: Refresh your page if you can't see any equations. . here the height of the triangle is x=4…

Q: The angle between vector A =4ax+5ay+6az and B = 3ax -2ay + 4az is * O 68.75 degrees O 56.62 degrees…

A: Angle between two vectors

Q: Find the unit vector that has the same direction as the given vector. −3i + 7j

A: Given data: The given vector is a=-3i+7j. The modulus of the given vector is, a=-32+72=9+49=58 The…

Q: Find the component form of the vector v  if ||v||= 5 and when drawn in the standard position v lies…

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Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

A: Any vector lying in the xy-plane, can be decomposed into two vectors which lie along the x and…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.