If OA = [3, -1, 4] and OB = [6, -1, 8], find the magnitude of AB:

Q: For AABC with side lengths a, b, and c, which equation can be used to determine c ? c = Na? - b² –…

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Q: Of what quadrant is A if sec A is positive and csc A is negative?

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Q: Find the angle between them If À = 2i - 1oj - ik, B =2Á +2j + k , 3 = 2i +2j+ k and À xB , CẦ x B)…

A: Two vectors A and B are given , we have to find the angle between vector A and vector B.  We use dot…

Q: the photo is attached

A: We find the values of cos theta for the given angles.

Q: Suppose that B=(2, 2, 1) and makes 30⁰ with A and AB=6. What is the magnitude of A?

A: Vectors are the mathematical quantity which obeys the set of axioms. In general, vectors are…

Q: +... If 2 = e1#1+a202+..tan#n, where a + a + .. + a, = 4. Find 42 22

A: Let us consider a function z=f(x1,x2,x3,⋯⋯⋯⋯,xn) then the partial derivatives is given as  ∂z∂x1,…

Q: Find the angle in degrees between A = 3i + 2j - 6k and B = %3D 4i - 3j + k. Write the numerical…

A: The angle between A and B is arccos(A.B/|A||B|).

Q: If H(θ)  = θsinθ   , find H'(θ ) and H"(θ)

A: We will use the product rule to find H'(θ)

Q: (4x?+q]!O "Cx)=

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Q: Find the angle between 0 and 2n that is coterminal with the given angle. 11n

A: We know that two angles α and β are co-terminal if  α-β=2nπ  where  n∈ℤGiven one angle as -11π4…

Q: Find the cos of angle T. A. O 7/24 O 24/7 C24/25 7/25 25 24

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Q: (-1 + cot2w + cos2w tan2w) / (csc2w) = ?

A: The given trigonometric function is:

Q: the photo is attached

A: The given polar equation is as below.r = cos(2θ)

Q: If csc(θ)>0, in which quadrants could θ lie? Separate multiple answers with a comma.

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Q: Use the Law of Cosines to find the values of x and y.

A: Here we have to find the value of x and y,

Q: If v×w = (-2,-3,3) and v×w = 2, find tan(θ), where θ is the angle between v and w tan(θ) =

A: v×w=-2, -3, 3 & v·w=2 Now consider, v×w=-22+-32+32⇒v·wsinθ=22   →1     ∵By definition of cross…

Q: 2x-5 2r +5

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Q: Find the magnitude of v. V = = 4i

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Q: Find the following If A =1- 23 – 2k and B = 6i + 4j-+4k- | а) А. В b) Angle between Ā and B c)…

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Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: "For the right triangle shown, express the cos of ∅ as a fraction in lowest terms if side a=8, side…

A: The edge length of the right-angled triangle  is  a=8, side b=6 and side c = 10 We need to find as…

Q: Find the expression identical to the one given. cot (B/2) O csc B- cot B sec B sec B csc B+csc B csc…

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Q: For the angles a and ß in the figures, find cos(a + B). 6 2 4

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Q: Simplify cos[arctan( -). -12/13 5/13 12/13

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Q: Let ü = (-4, 5) and let (-1,-2). Find the angle between i and e in degrees to one decimal place.

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Q: Find the angle between the If À =2i -10j - ik and ÀxB B = 2Á +2j+ k , CẦXB) Ã

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Q: Find the angle 0 between and 37 such that sec(0) = – /2. -

A: We can solve the problem by finding the angle between the interval.

Q: Given v=4i-j and w=2i-5j​, find the angle between v and w.

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Q: Find the measure of each acute angle. (6x + 7)° (11x- 2) 21 (11z - 2) = and (6z + 7)* =

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Q: If v lies in the first quadrant and makes an angle π/3 with the positive x-axis and |v| = 8, find v…

A: Any vector making an angle with positive x axis can e broken into components very easily in terms of…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: 1tanx·cosx·cscx=cot2x

Q: Express u in terms of degrees, minutes, and seconds, to the nearest second.

A: Given: θ = 1.5 To express: θ in terms of degrees, minutes and seconds to the nearest seconds.

Q: Find the magnitude of v.     v = 4i

A: Given v = 4i

Q: Find the angle between them IF A-2i-10j-uk, B-2i+2j+ k and À xB , CẦXB) Ä

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Q: Find u - v, where e is the angle between u and v. 27 |매 10, ||v|| = 17, 0 = , |u|| 3

A: Given: u→=10 ,     v→=17  Angle between both vectors is:  θ=2π3

Q: Make a table of ordered pairs using values of 0 that are multiples of 45°. r = 8 cos 0 (r, 0) 0° 45°…

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Q: Radius OR I  AB) If BC = 6 and RC = 2, what is OA?

A: Given, BC=6RC=2 Drawing the line from the point R to B…

Q: Find csc π/4, sec π/4, and cot π/4.

A: Find the value of cscπ4.

Q: Q Find the angle IF A= 2i -10j - Ik , B = 2Á + 2j+ k and À xB , CÃXB) Ã between them

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Q: du 1 - sec a ), Derive the formula: +c. uvu? - a2

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Q: Find the cosine of the angle of separation between a = (1, 1, 2) and b = (-2, 1, 5). cos (a) =???…

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Q: For the angles a and B in the figures, find cos(a + B). 6 4 1

A: NOTE: Refresh your page if you can't see any equations. . for the right angle triangle ABC, use the…

Q: Given |F₁ = 85 N and |F₂| = 125 N and they are acting at an angle of 14 a) Find the magnitude of the…

A: Topic:- application of vector algebra and trigonometry

Q: Make a table of ordered pairs using values of e that are multiples of 45°. r = sin(20) (r, 0) 0° 45°…

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Q: If v lies in the first quadrant and makes an angle :/3 with the positive x-axis and |v| = 6, find v…

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Q: Evaluate cot r csc® z da

A: When we perform integration without limits it is known as indefinite integration, it is the reverse…

Q: If v lies in the first quadrant and makes an angle pi/3 with the positive x-axis and |v|=4, find v…

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Q: Make a table of ordered pairs using values of 0 that are multiples of 45°. r = cos(20) (r, 0) 0° 45°…

A: Consider the given polar equation r = cos(2θ)

Q: Choose the quadrant in which 1 is located. II IV II

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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.