7) Add the given vectors by components. Remember to give both the magnitude and direction of the resultant. A = 584 lb, 0A = 221° B = 328 lb, OB = 310° %3D

Q: What is the magnitude and direction of the vector v = ? (answers to the nearest tenth) %3D

A:

Q: 4. Show that a b

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Q: Given the vector ü = (1, – 3), find the magnitude and angle in which the vector points (measured…

A: u = 1i - 3j

Q: In the previous question, what is the angle between the two given vectors to the nearest degree? a)…

A:

Q: Write the vector v in the form ai+bj, given its magnitude and the angle.Magnitude = 16Angle = 135

A: To write a vector v in the form ai + bj We have Magnitude of the vector, ∥v∥ = 16 and Angle, α =…

Q: If vector a= and vector b=, find the angle between vectors a and b, rounded to the nearest degree.

A:

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: For vector v, having magnitude v and direction angle θ can be represented in form of v = v cosθi^ +…

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: graph with two vectors shown on it. Add them, ar d position. |10 7

A: In the graph given, consider two vectors u and v. The vector u→ has coordinates -5,3. The vector v→…

Q: Given the vectors shown, sketch ủ +v, ū-v, and 2u .

A:

Q: Given the vector ū = (– 2, 6), find the magnitude and angle in which the vector points (measured…

A: u→=-22+62=4+36=40=210 We know the formula for θ is  θ=tan-1yx Then,…

Q: Find the components and length of the following vectors: 4i+5j Components: Length:

A: Sorry, as per our guidelines we are allowed only to answer 1 question when multiple questions are…

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

A:

Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

A: The given problem to find the magnitude of resultant vector and direction of cosines of the given…

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

A:

Q: . Given a and b are unit vectors, and the angle between them is 60deg , determine the value of |2a −…

A:

Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

A:

Q: Given the vector ū = (– 5, – 4), find the magnitude and angle in which the vector points (measured…

A: Given point lies in third quadrant since both X and Y coordinate of the point is negative .

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: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

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

A:

Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

A:

Q: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: Find the magnitude of each of the two vectors a and b having the same magnitude such that the angle…

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Q: If the points with position vectors 10i+3j.12i-5j and ai+11j are collinear, Find the value of a.

A: The position vectors of the points which are collinear is: 10i+3j ,     12i-5j ,      ai+11j

Q: Consider the weight suspended by two wires in each diagram. Find the magnitudes and components of…

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Q: Find the angle between the given vectors. Round to the nearest tenth of a degree.

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Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

A:

Q: 36) -24i + 32j

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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: Two vectors are equal is they are parallel and have the same magnitude and direction ylgn O ihi

A: For two vectors to be equal, they must have both the magnitude and the directions equal.

Q: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

Q: Write the vector v in the form ai + bj, given its magnitude v||= 180 and the direction angle a…

A: We have to find vector

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

A: Given: ||v|| = 5  θ=45∘

Q: A vector has magnitude 5 and has direction of 139 degrees. Rounded to the nearest hundredth, find…

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Q: Find the angle between the two vectors v, = and v2 = give the answer in degrees, rounded to one…

A:

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

A:

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: Given two vectors P = 9i + 9j + (-9k), Q = (-6j) The angle between the two vectors is

A: We have two vectors P=9i+9j-9k and Q=-6j. Then the angle between the two vectors.

Q: Find the magnitude and direction of the resultant of the following vectors using Laws of Sines and…

A: Given that x=10N and Y=5N. The graph formed is, Now decompose X and Y vector along x and y…

Q: Find the vector v given that the magnitude is 9 and the direction angle is 225°. Write final answer…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.