A vector makes an angle of 79° with the x-axis and an angle of 42° with the y-axis. What angle does it make with the z-axis?

Q: Find the angle between the diagonal of a cube and the diagonal of one of its sides.

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Q: Find the magnitude and direction angle (to the nearest tenth) for the vector. Give the measure of…

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Q: the angle of inclination from the base of the John Hawkins center to the top of the main structure…

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Q: From the top of a cliff 150 feet high, the angle of depression of ship A is 20° and that of ship B…

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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: The resultant of a 10-lb force and another force has a magnitude of 12.3 lbs at an angle of 23.4…

A: First make the digram then suppose the length of other vector is x and angle between both vector is…

Q: Find the magnitude lvl , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

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

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Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: The angle that vector A =2ax+3a,+8az makes with x-axis is 56.14 42.03 76.82 68.19

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

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

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Q: if theta is the angle between the two vectors, v, and w, find the measure of angle theta in degrees,…

A: Use given vectors find angle between them

Q: Suppose the vector v has magnitude 92 and makes an angle of 247 with the positive x-axis (measured…

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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: The angle between the vectors A = 17- 31+4 k and B= 5î -3ĵ+0 k, in term of cose is Answer:

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Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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

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Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

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 with magnitude 8 and direction 270°, and vector v with magnitude 5 and direction…

A: We have to conert the given vectors into their rectangular component form and add them and then…

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: Find the magnitude and direction angle (to the nearest tenth) for each vector Give the measure of…

A: For a given vector with given values for coordinates (x,y), the magnitude of the vector is given by…

Q: against

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Q: Let →a=⟨−4,−5,−2⟩and →b=⟨1,−1,5⟩ In Radians, find the angle between the vectors

A: Angle between vectors

Q: Find the direction cosines and direction angles of the vector 3i +2 i – k .

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Q: Let a = (- 3, 2) and b = (2, – 5). Find the angle between the vector, in degrees.

A: Given:           a→=-3, 2 and b→=2, -5 We know that the dot product of two vectors is defined as…

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

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Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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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: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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Q: Let →a=⟨−2,−1⟩ and b→=⟨0,-5⟩. Find the angle between the vector, in degrees.

A: We can find the angle between the vectors as below.

Q: If vector V has a magnitude of 38 and makes an angle of 340° with the positive x-axis, write V in…

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Q: If vector V has a magnitude of 34 and makes an angle of 310° with the positive x-axis, write V in…

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Q: A ladder rests against a vertical wall at a point 12ft. from the floor. The angle formed by the…

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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: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: For vectors ū = (1,-5,2) and v = (3, 1,-4), calculate the following: a) ū• i b) the angle between ū…

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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: Given the vector u with magnitude 2 and direction 350°, and vector v with magnitude 7 and direction…

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Q: and D. Find the values of x such that the angle between the vectors is 90".

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Q: Suppose the vector v has magnitude 49 and makes an angle of 155° with the positive x-axis (measured…

A: The magnitude of the vector, v = 49 Angle between the vector and positive x-axis, θ = 155° To…

Q: ABC is a triangle. If D is the midpoint of AC, show that BA + BC = 2BD. Vectors

A: Consider the given information. Let's draw the triangle.

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

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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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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.