1 23 The column space of A 0 4 5 is: 00 7 O a. A point in R O b. A plane in R Oc. A line in R O d. The whole of R

Q: If (x + iy)i = a + ib , where x, y, a, b e R , evaluate y a elect one: O a. - a? + 2b² O b. -2a? –…

A: given x+iy13=a+ib

Q: 1. Let Ā = (-1,2, 3) and B = (4,–3, 1). Find the following. c. [2Ã] – |3Ē| d. [2Ã + B|B a. JĀĪĒ –…

A: Let A→=-1,2,3 and B→=4.-3,1 Find the following: a. A→B→-B→A→ b. A→B→-2A→ c. 2A→-3B→ d. 2A→+B→B→ e.…

Q: If [1 2 3 A = 3 -1 3] -1 0 2 23 1 of Find 2A - B stion Select one: a. none O b. -153 -5 6 0] O C.…

A: Solve the matrix

Q: of trees in a garden: Height in ft. No. of trees Height in ft. Less than 35 Less than 7 No. of trees…

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Q: Q2.7 You have been given the following statements. Which of them are always in R? TherC uiay be more…

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Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: E= {-2, -1, 7,8} I={-1, 1, 6} Find union of G and D E U I = ? Find the intersection of G and D…

A: The given two sets are E=-2, -1, 7, 8  and  I=-1, 1, 6. Evaluate E U I as follows. E∪I=-2, -1, 7,…

Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 7. Let -4 4 a. How many vectors are in {V1, V2, V3}? b. How many vectors are in Col A? c. Is p in…

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Q: Let A and B be two sets of real numbers. Which one of the following identities is true? O A = (Anø)n…

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Q: Question 23 Let y = [³] 09/5 02√5 03√5 O 3√10 O√5 and u = Question 24 H Find the the distance from y…

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Q: Let a = 5i – 2j and b = 2i + j – 7k then what is a. b =? O a. 12 O b. 8 O c. 1 O d. -8 O e. -12

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Q: Match each property with its name. Inequality of arithmetic and geometric means Commutativity of dot…

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Q: a. Write (-3, 5) in terms of i and j. b. Given w 6.2i – 3.4j and v = -1.7i + 2.2j, write 3w – 5v in…

A: It is known that a vector is a quantity which has both magnitude and direction. Now, a vector can be…

Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

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Q: Let v = (5,1,-2) and w =(4,-4,3). Calculate v w.

A: Given,v=5i+j-2kw=4i-4j+3kWe know that if (a1i+b1j+c1k).(…

Q: - 14 2 Let B = Find B. 6 0

A:

Q: Assume all 4 figures below have the same height and each cross section was taken at the same height.…

A: Given that each of the figure is having same height. Given the cross sectional areas at same height.…

Q: 0 b and B: b Let A = Show AB = - BA.

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Q: 11. Find the rate.cf.changf.f.at.P.in.the directod then.vectoe ūf a. f.=ylnx. P(1,-3. --3 P.(I,-3..…

A: Directional derivative

Q: (A x B) U (C x D) (AUC) x (BU D)

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Q: 17. Find the dot product. (4, 5)·(7, 7)

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Q: SW TV. Find VW. 39 26 W V V 14 VW = %3D

A: The figure is given by To evaluate : VW

Q: A= 1-1-1 Anda diagonal D and an orthogonal mats P to which PT AP-D. The mas D should have to…

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Q: For each pair of vectors in i-iii, find the following: e. ||ū|| and ||3|| b. and ||ū|| |||| f. Ili2…

A: Since you have asked a question with multiple subpart here we will solve the first three subparts…

Q: Consider each A and B vector, make each of the following below TRUE or FALSE, and give brief…

A: To prove: A+B→ < A→OrA+B→2 < A→2…

Q: Let à = (6, 6) and 6 = (-4, 7). Compute the dot product. ā.b=

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Q: Let A = (c, a, t J, B = {f, 0, x). Find A x B and B X A. AxB= (Type an ordered pair. Use a comma to…

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Q: Find w such that 2u + v – 3w = 0. u = (2, 7, 5, 0), v = (-3, 1, W =

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: Which of the following is the representative of the set of the vectors of the form where x, y ER?…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.