- Let v and w be vectors such that |v| = 2, ww = 36 and the angle between v and w is T/3. Calculate the following: (a) | - 5w| (b) (-5v). v (c) v. W (d) v x w

Q: Let ú = (0, – 3, 2) and i = (5, 0, – 5). (a) Find i - v: i - v = (b) Find the angle 0 between the…

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Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

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Q: Q1:The following vectors; Ā =, B =< 2,-4,6

A: To find the cross product of the vectors  A⇀×B⇀=ijk14-12-46 simplify…

Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

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Q: Q2: Find the angle between the vectors à and b where a = i+ 2j – k and b = -i+j-2k.

A: The angle between two vectors A→ and B→ is calculated as, cosθ=A→.B→AB The given vectors are,…

Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

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Q: 0 Let a = -(1)-(3) 0 What is a|2|b²+ a. b² ? and b= 2 be two vectors.

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Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: Apply your understanding of vector operations to simplify the following algebraically:…

A: Given query is to simplify the expression.

Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: If a and b are unit vectors in R', show that ||a x b||? + (a · b)² = 1. %3D

A: On solving this we will get:-

Q: 22. Given vectors C = 5î - 2ĵ and D = 3î + 4ĵ, find: a. the projection of vector Conto the x-axis…

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Q: Ifv+w= and v = [1]. C W= , compute and draw the vectors v and w.

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Q: Which of the following statements are true for all vectors a, b? A. ||a - - b||² B. a∙b=0⇒a=0 C. a.…

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Q: Q2: If it wasA = 3i -j+2k , B = 2i + 3j -k find 1. 4Ã + 2B 2. ÀxB 3. The angle between the two…

A: we know thatA→=ai+bj+ck=a2+b2+c2sinθ=A→×B→A→B→A→×B→=ijkabcnlmwhere…

Q: Calculate the magnitude of the angle between two vectors that makes m the numerical multiplication…

A: Assume two vectors a and b with magnitude a and b respectively.

Q: Which of the following pairs of vectors are perpendicular? and A. and В. and OC. None. D.

A: Concept: If two vector are perpendicular then their Dot Product will be zero.

Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

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Q: Using the vectors, find the angles of a triangle whose vertices are points A(-1,0,2), B(2,1,–1),…

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Q: J1 1. Find the angle in degrees, between the two vectors, u = (1,3,-2) and v = (2,-1,3).

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