Q 2-11 be or tuogoual vectors in tuat llull=48 and llv!ll =7.find let u and v R* and let w= 7u+8v ASSUME the Cosine of the angle between and V. J37 a) 37 SEN J35 e) 41 35 J34 4) 39 39 34

Q: If ū and i are two vectors, prove the identity ld + 레? + |d - 비? = 2| + 2|미2

A: This question is based on vector multiplication.

Q: a= b=

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Q: Eind vnit Vector that is ortogone a O u=(!,-!,2) and V=CO,3,1)

A: Here we have to find the unit vector orthogonal to u=1,-1,2 and v=0, 3,1

Q: Q3) If P(2,-2, 1) , Q(3,-1,2) and R( 3,-1,1) ノ の)ind the area of the triangle determined by the…

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Q: 15. The vector u+v+w as colored arrow is shown bellow Ay wW W u Option 2 O Option 1 AY W W O Option…

A: Here, vector addition can be done as:

Q: Question 17 of v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and…

A: Given query is to find the Indicated vector.

Q: DATE I OBJECT (5-15) let A,B,C,D be subsets of asetU show that An(AnB')-Ø

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Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

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Q: True or False? If u and are nonzero vectors, then Span{u, v} contains the line through u and the…

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Q: A vector of 2 unit length parallel to vector 2i + 2j+k is:

A: We know a vector consists of magnitude and direction as we have to find the direction parallel to…

Q: Vectors in R must have two or more values. A) True B) False

A: Ans: B) False

Q: 2 Find the angle between two vectors Ā - Hax-Gay -89z B-Gax + 10ay + Saz

A: Angle between two vectors A⇀ and B⇀ is θ=cos-1A⇀·B⇀A⇀B⇀

Q: Sind unit vector Lor 3atb if a-2i4jtk ちのi-25-sk

A: First calculate the vector 3a + b and than devide it with its magnitude for unit vector.

Q: If A-(rsinOcos -cos2Osin

A: Given, At the point , we have determine the vector component of that is parallel to vector .

Q: Define the vectors u = и %3 (-5, 2, –1) v = (3, 2, –5) - а)Compute u: 0. b)Is the angle between u…

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Q: Prob. 2. ū and i are two vectors. If |피 = 4, [히 =3 and 2(ü, ü) = 2π/3. Find: a) ü.ㅎ b) ū.u c) |3ü +…

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Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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Q: 2. The position vectors of A, B and C relative to a fixed origin O are respectively, Find, ABAC

A: [2].

Q: List five vectors in Span v₁, v2 = 2 18-18-18-18-18

A: To list five vectors in Span v1→, v2→. v1→=120, v2→=-2-30

Q: 2.Let a = (2,3,5) and uz(-,2,3) be Vecters in IR?. a) Find the rector Component Of u along a. 6)…

A: The vector component of u along a is also called the projection of u on a.

Q: Let a and b be two unit vectors. 1) a x (a.b) 2) a . (axb) 3) a . (a+(axb)) 4) (axb) + (bxa)…

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Q: A vector v is defined with initial point P = (2, -6) and terminal point Q = (-3, -2) a)  Graph the…

A: Given  A vector v is defined with initial point P = (2, -6)  terminal point Q = (-3, -2)

Q: 3) Let a = 3i, b = i + j. Find 5a + b. A) 11i + j B) i+ 16j 4) Let a =(3, 8), b = (-5,9). Find a +…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Let a = (2, 2, -1) and u = (0, 5, 3). Evaluate projau. a.) b.) Find a nonzero vector that is…

A: Let a = (2, 2, - 1) and u = (0, 5, 3)a.) Evaluate proj_a(u)b.) Find a nonzero vector that is…

Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

A: In this question, the concept of Directional derivatives is applied. According to the Definition of…

Q: TRANSCRIBE THE FOLLOWIMG TEXT IN DIGITAL FORMAT

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Q: Find the angle (in degrees) between the vectors a and b, rounded to two decimal places, where a = 14…

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Q: 4) Find all vectors vE C? such that (1 + i)v + () = () 3+ 6i

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Q: If u is a unit vector find the dot product of vectors u and w

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