Vector W is in standard position and makes an angle of 180° with the positive x-axis. Its magnitude is 9. Write W in component form (a,b) and in vector component form ai + bj.

Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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Q: 2) Given two vectors that both start at the origin; (3, 5) and (-3, -5), find the angle between…

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Q: The unit vector from the origin to the point A is given as (6, -2, -4), and the unit vector from the…

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Q: What is the component form of the vector represented by 2a when a (-23)7

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Q: What unit vector is in the same direction as v = 2i - 4j?

A: The unit vector in the direction of vector V is given as:

Q: What is the angle in radians between the vectors a = (-9, -9, -4) and b = (4, -1, -4)? Angle:…

A: Given, a⇀=-9i⏞-9j⏞-4k⏞b⇀=4i⏞-j⏞-4k⏞ now find the angle between the vectors we know formula of angle…

Q: How do you subtract two vectors algebraically? Geometrically?

A: Let the two vectors be a→ and b→. To find the difference between two vectors algebraically, that is…

Q: Write unit vector for AB in component form when point A = ( 0,0 ) and point B = (-4, 8 ). %3D %3D

A: Formula: for the vector a→ the unit vector a^ is a^=a→|a→|

Q: Write the vector v in the form ai + bj, given its magnitude is ||v|| = 38 and the angle it makes…

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Q: Write the vector v in the form ai+bj​, given its magnitude is v=39 and the angle it makes with the…

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Q: Find the magnitude of the vector (-4, 2). Write your answer in simplified radical form.

A: Magnitude of a vector means length of the vector. Let A= <a, b> be a vector then formula for…

Q: Find the magnitude of the vector (4, –2). Write your answer in simplified radical form.

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Q: Find the magnitude of the vector (3, –6). Write your answer in simplified radical form.

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Q: Find the magnitude and the direction of the igiiven.vector lu=(3,-4)

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Q: Vector a is expressed in magnitude and direction form as a = (V30, 110°). What is the component form…

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Q: If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the cosine of…

A: Given ,  If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the…

Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: Explain how you might use the dot product of cos(B – a). two vectors to derive a formula for…

A: Here the objective is to derive the formula for Using the dot product of two vectors.

Q: Find the magnitude of the vector  (−4−2)     Write your answer in simplified radical form.

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Q: Find the magnitude of the vector  , 3−6 .   Write your answer in simplified radical form.

A: Let the vector be u=3,-6. To determine the magnitude of the vector v=x,y, use the formula v=x2+y2.

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

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Q: Find the magnitude of the vector (-6, 3). Write your answer in simplified radical form.

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Q: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west. Determine whether…

A: It is known that a vector is a quantity that has both a direction and a magnitude.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Find the unit vector in the direction of (5, –4). Write your answer in component form.

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

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Q: The point of vector v in V2 is the origin and the terminal point is in quadrant 2. If  v makes an…

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Q: For vectors and shown, drawu - 2 13 19 V

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Q: Show that the pair of vectors is perpendicular. -2i - 5j and 10i – 4j To show that -2i – 5j and 10i…

A: Given,            To show that -2i -5j and 10i - 4j are perpendicular.

Q: Leta=7-67 and b=31-23. Use the dot product to determine if the angle between the two vectors is…

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: We have to find the component  form of the vector with given magnitude  and direction.

Q: Vector a is expressed in magnitude and direction form as a =(√26, 140°). What is the component form…

A: I am attaching image so that you understand each and every step.

Q: To add or subtract two vectors in component form, simply add or subtract the cor-responding…

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Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: Find the component form of the indicated vector.

A: The given question belonging to the vector in which we have to find the value of subtraction of the…

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: Find the position vector of the point of intersection of the line joining the points whose position…

A: Given: The position vector of the points 5i^-4j^ and -3i^+4j^; -13i^+4j^ and -5i^+j^

Q: Choose correct position vector B. -OB-BC = -0C OD = OA+AC -BC-OB = 0C OA+AC = -0C %3D

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Q: If vector V has a magnitude of 34 and an angle of 280° with the positive X axis, write V |an in…

A: The vector V has a magnitude of 34 and an angle of 280° with the positive x axis.

Q: Vector a is expressed in magnitude and direction form as a = (/26,140°). What is the component form…

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Q: ZA B side of cube = 10 cm 1. write vector notation in Cartesian coordinates 2. what is the length of…

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Q: Each unit on a trail map is equal to 1 foot. A hiker is at map coordinates (450, 700), and the park…

A: Let's find.

Q: Sketch the vector ? = ⟨−2, 4⟩.

A: Given: Consider vector V=<-2, 4>

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: If ū = -4i +3j is a position vector, v = i - 2j , and w=ū+v. a. Draw u (as a position vector), ở and…

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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.