Using a convenient scale, find the resultant of the following vectors graphically: 10m at 40o with the x-axis, 15 m at 140o with the x-axis, and 15 m at 210o with the x-ax. Check by the component method.

Q: Find a unit vector in the same direction as 8i-j+ 4K

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Q: Solve the resultant of the following vectors: 20.0 m at 30.0°, 40.0 m at 120.0°, 25.0 m due West,…

A: Given: AB→ = 20.0m at 30.0°BC→ = 40.0m at 120.0°CD→ = 25.0m at 180.0°  Due WestDE→ = 12.0m at 315.0°…

Q: Find the unit vector in the direction of .

A: Given points are: P1≡32,72P2≡82,22 Then we get, P2-P1=82-32,22-72⇒P2-P1=52,-52

Q: Find a unit vector that is parallel to the line tangent to the parabola y = x2 at the point (6, 36).

A: The parabola y = x2 and the point (6, 36)

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: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

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Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: Find a vector that has the same direction as 8i-j+4K but has a length of 6

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Q: a/Find the length and diredtion of the vector 式ド、で Aュ2i+3k where や ノ

A: The given question is from vector and can be solved as shown in step2

Q: (a) Find the vector of length 2 that makes an angle of π/4 with the positive x-axis. (b) Find the…

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Q: What is the resultant of vectors a and b? ( A ) GL B

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Q: Find the initial point A of the vector that is equivalent to (3,7), and whose terminal point is…

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Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with…

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

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Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: Suppose that the vectors below have the following components: a = b= č = What is the exact value of

A: We have to find the exact value of the given vector multiplication.

Q: Find the x-component of the vector of length 3 in the direction of V = (-1,-1).

A: v=<-1,-1>=-i-j Unit vector in the direction of vector V i.e.,     v⏜=-i-j(-1)2+(-1)2 =-i-j2…

Q: Sketch the following vectors, and find their components andlengths: i + j + k

A: The vector is i+j+k sketch the vector and find its length.

Q: O Find a unit vector (a vector with length 1) that has the direction of 3 2

A: Given below the detailed solution

Q: find the component form of the vector. The unit vector that makes an angle u = 2π/3 with the…

A: Given vector is unit vector. So, magnitude v=1 Angle made by vector with positive x-axis is u=2π3

Q: Find the given vector : Unit vector e making an angle of 4π/7 with the x-axis

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Q: Find the equation of the plane sanned by the above two vectors

A: Given: Two vectors u=223 and v=-20-3. To find: Equation of plane spanned by given vectors.

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u & v.

Q: 1. The two unit vectors parallel to the line y = x- 3 are and

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2) A is 8.5cm long and pointed to the right (+x axis). B is 6.0cm long and pointed up and to the…

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Q: In the given diagram, which is the equivalent of vector

A: sum of vectors of closed triangle is 0 if we choose one direction -- Here if choose anticlockwise…

Q: 2. Find the cross products of the vectors in the diagram above.

A: The concepts to be used: (i) The components of vectors can be written in terms of cosine and sine.…

Q: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

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Q: Find the dot product of the given vectors ü=, ö=

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Q: Find the following for the vectors

A: Given that: v=-9i+ju=-5i+7j     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: A=4+J1 and B=2+j3 respectively determine the sum and the difference of the vectors in both…

A: Concept: Complex numbers: Complex numbers are two-dimensional complex or s-plane points that are…

Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find a vector equation with parameter ?t for the line through the point (8,0,−5) and parallel to the…

A: Given,           The line through the point (8,0,−5) and parallel to the vector 2i−3j+3k

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: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

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Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: The dimension of the given box is 1×2×3.

Q: A sailboat is sailing at a speed of 6 knots at a true bearing of 220°. Give the velocity of the…

A: First represent the vector on coordinate plan than break the components along x & y-axis.

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 33.5? (a)…

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Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

Q: Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)

A: Given,  Vector < 14, 0, 4>

Q: Find the component form of vector v given its magnitude is ||v|| = 5 and the angle it makes with the…

A: Given that the magnitude=||v||=5 and angle=θ=60°. So the component form is given by:…

Q: Suppose that the vectors below have the following components: a= 6= č= What is the exact value of

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: Find the angle 0 between the vectors a = 8i – j– 4k and b = 2i+j- 9k. %3D

A: A vector is a mathematical concept with both magnitude and direction. It's used to describe things…

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.