Q of square matria Find the adjoint (A)- A= 3 5 니 2 Qe A) Find the Vector 5 unit length in the direction oļ vector perpendicular to the 1tane which passes through A(',2,3) B(3,2,5) and c (!,4,-1). 3 plot the polar graph r= 2 (1-sino) G3 Using Grtmers ule matrix Solve the system of linear equaitions 4X +42 =2+2 X y +42 = 6 X -Y-32 = -22

Q: a/ the point (-2,-2√3) It is the Cartesian re ion of representation the polar vector (4, II) 3

A: Above question is solved.

Q: ines in 2d: Determine the parametric, vector and scalar equations for line passing through (-2,11)…

A: Given :            to find parametric equations through a point (-2,11) and (6,1)…

Q: Triangle ABC has coordinates A(2,0), B (-1,5), and C (4,3). Determine the coordinates of the…

A: Let us consider a triangle ABC with vertices A,B,C. Now, transforming the vertices along with the…

Q: QI/A/ Let u=5i -j+k, v=j-5k, w=-15i+3j-3k. Which vectors, if any, are a) Perpendicular? b) Parallel?…

A: Solution:Given    let u=5i-j+k,   v=j-5k,   w=-15i+3j-3kTo find (a)…

Q: u = 3i - 5j + 2j and v = 7i + j -2k find the vector projection of u onto v

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Q: Consider the set of vectors in M: 3 2 6 S = 2 3 15 -1 2 It follows that (A) S is a basis for M (B) S…

A:

Q: The total cost per week of producing aproduct 3 C = 360 + 25 x t 12 x -2 is If the price per unit…

A: The total cost per week  is Cx=360+25x3+12x-2 . (a) The marginal cost is the derivative of the cost…

Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations…

Q: Which pairs of these maps commute. • Which are correct identities and why i) A? = c ii) C² =1 i) A*…

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Q: 4as + 3a, to RCS. The answer must be in terms of p. 4. Convert the vector É = –a, – A. (cos o + 4…

A: A vector A in rectangular coordinates can be written as Axax+Ayay+Azazwhere ax, ay, az are unit…

Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b =(3, 3, 1) compab = 3.571428…

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Q: The vector v and its initial point are given. Find the terminal po v= (2, -3, 6) Initial point: (0,…

A: Given vector is: v→=2, -3, 6 Initial point is: a0, b0, c0=0, 6, 1

Q: Sketch the vectors

A: Solution : The magnitude  of |a| , |b|, |c| are  |a|=a1+a2|b|=b1+b2|c|=c1+c2 a=(-3)2+22     =9+4…

Q: Triangle ABC has points A(-1,2), B (0, -3) and C (1, 2). A translation of this triangle results in…

A: Observing from the given point we conclude that

Q: • Which pairs of these maps commute. Which are correct identities and why i) A? = c i) c² = 1 ii) A*…

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Q: B) ty A' Draw the vector v from a vertex of AABC to its image in AA'B'C'. 8' Determine the…

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Q: Question 2 > Consider the point P(2,-1,-4) and the vectors a = and . (a) Find the unit vector u that…

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