Suppose the vector t has magnitude 48 and makes an angle of 239° with the positive x-axis (measured counterclockwise), when t is in standard position. Write t in the form t=ai+bj.

Q: Suppose the vector t has magnitude 57 and makes an angle of 239° with the positive x-axis (measured…

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Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

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…

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Q: Given initial point  P1 = (−2, 1)  and terminal point  P2 = (5, 4),  write the vector v in terms…

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Q: Suppose the vector t has magnitude 34 and makes an angle of 200° with the positive x-axis (measured…

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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: for what value of Ca) will the Vector ū = -41-8)4ak,ū =ei+4j-5k are parallel

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Q: Suppose the vector s has magnitude 86 and makes an angle of 147° with the positive x-axis (measured…

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Q: Suppose the vector t has magnitude 31 and makes an angle of 233° with the positive x-axis (measured…

A: We will find out the required value.

Q: Write the vector v in terms of i and j whose magnitude v and direction angle 0 are given. Iv=18,…

A: we are going to asume v=xi+yj and then by the given data will find the value of the x and hence…

Q: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

A: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

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: Given u = and v = , sketch u - 2v and identify the direction (from standard position a.k.a. (+)…

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

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Q: Suppose the vector w has magnitude 16 and makes an angle of 339° with the positive x-axis (measured…

A: Given:    Magnitude ( r) = 16    Angle = 339°

Q: Suppose the vector t has magnitude 21 and makes an angle of 228° with the positive x-axis (measured…

A: Given,  Magnitude=21, angle=228°   Recall:  Formula:     a=(magnitude)(cos(angle)),…

Q: The vectors a, b and c are such that 2a – b+c= 0. If a = 4i – j+k and b = i- 2k , find a unit vector…

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Q: Find the magnitude and direction angle of the vector w = -4i - 3j to correctly write w in…

A: we have vector  w→=-4i-3j we have to find  i) magnitude ii) direction  iii) vector w→ in…

Q: Find the component form of the unit vector v in the direction of the diagonal of the cube shown in…

A: Consider the given figure as

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: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: Suppose the vector t has magnitude 64 and makes an angle of 243° with the positive x-axis (measured…

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Q: Given initial point P1 = (6, 6) and terminal point P2 = (−6, 6), write the vector v in terms…

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Q: Suppose the vector v has magnitude 26 and makes an angle of 308° with the positive x-axis (measured…

A: The magnitude of vector v is v = 26 The angle made by the vector with positive x-axis, θ = 308° To…

Q: Suppose the vector v has magnitude 31 and makes an angle of 339° with the positive x-axis (measured…

A: Given: v has magnitude 31 and the angle with the positive x-axis is 339° To find: v = a i + b j

Q: Given initial point  P1 = (−7, 4)  and terminal point  P2 = (9, 6),  write the vector v in terms…

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Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1)

A: G

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: For a vector v with magnitude M in the direction of θ.The Horizontal comonent is given by…

Q: Suppose the vector w has magnitude 25 and makes an angle of 320° with the positive x-axis (measured…

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Q: Write the vector v in terms of i and j whose magnitude||v||= 10, and direction angle θ= 330°.

A: Given: v=10 and θ=330o

Q: Suppose the vector t has magnitude 96 and makes an angle of 214° with the positive x-axis (measured…

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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: Suppose the vector v has magnitude 25 and makes an angle of 309° with the positive x-axis (measured…

A: solution

Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured…

A: Here we will find the magnitude and direction of given vector,

Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

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

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Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

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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: If a = 3i – j +2k, b = I + 3j – 2k, determine the magnitude and direction cosine of the product…

A: Dot Product: Let u=u1i+u2j+u3k and v=v1i+v2j+v3k be two vectors. Then the dot product of u and v is…

Q: find the magnitude and direction angle for the vector v=2i-6j to correctly write v in trigonemetric…

A: Given : The vector v = 2i - 6j to correctly,   ⃗⃗⃗⃗⃗               ⃗v(2,-6)  magnitude of (2,-6)…

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

A: Any vector can be break down into its components if we know its magnitude and its direction. The…

Q: Each problem below refers to a vector V with magnitude ) V ) that forms an angle u withthe positive…

A: For the given magnitude and angle V=425, θ=36°10'.

Q: Suppose the vector v has magnitude 14 and makes an angle of 136° with the positive x-axis (measured…

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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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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.