5.12 Find the center of: a) V; b) Qs-

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: What is the area of the triangle ABC with vertices А(1,2, 3), В(2,4, 3), C(1, 2, 0) ? Select one: O…

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Q: Find a.) v*w b.) w*v,c.) v*vd.) w*w v=i-2j+3k, w=3j-2k

A: Given :               ⃗⃗⃗⃗⃗ ⃗v = î-2ĵ+3k̂ , ⃗w = 3ĵ-2k̂   (a). v*w = v×w = (î-2ĵ+3k̂)×(3ĵ-2k̂)…

Q: 13. Let A be the set A = {a, b, c, d}. Consider the relation R on A given by R = {(a, a), (b, b),…

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Q: In the adjoining figure ū and V are unit vectors. Evaluate the following and input your numerical…

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Q: Let vi = 2 v3 2 and u = If u e Span(v), v2, v3) then the value of r is a) 8 b) 7 c) 6 d) 5 e) 4.

A: We use the definition of the span of a set of vectors to find the value of x.

Q: The area of the triangle with vertices (1,1), (8, 7), (8, 1) is Select one: O a. 21 O b. 20 O c. 42…

A: The area of a triangle with vertices x1, y1, x2, y2 and x3, y3 is calculated by the following…

Q: a)Find the value of B. b) The support of (U,V), namely the values of u and v that correspond to the…

A: Given,and transformations..To find the value   and choose the correct option.

Q: Are these points collinear? a) A(-1, –2), B(3, 2), and C(5, 5) b) D(a, c – d), E(b, c), and F(2b —…

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Q: 4. Find the center of (a) V; (b) Q8-

A: We have to find centre of following groups: Definition: Let G is a group then centre of G denoted by…

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? 2 В 3 4 A C

A: topic - polygons

Q: 1) Find the area of a Q(-2,-4,1) & R(3, 6, 6). triangle PQR, with vertics P(-2,-6,-

A: To solve the following

Q: The midpoint of v(2,10,14) is

A: Midpoint is found between 2 given coordinates.

Q: d) Find the norm of v. i) v = ii) v = -i + 7j

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Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

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Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

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Q: let the vertices of a triangle be A(1,4)     B (4,7)        C(7,1) Calculate its area and height

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Q: |- ri + 2r3 r3- 4x2 T:R R2, T 21, 22, r3 E R

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Q: 5) Use rhombus DKLMwith AM=4x+2, AK = 5x - 3, and DL =38. K A M L a) Find x. b) Find AL. c) Find…

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Q: 4. Consider the following figure: A(1,1,0) D В-1,-1,-1) C(2,2,0) a) Find the coordinate of D if…

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Q: Determine whether R3 = span(u, v, w) if

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Q: a.) Find the perimeter of the îhombus of sagment if the Slope' EF is 3. b.) What are the caordinates…

A: Given that, In rhombus EFGH, the coordinates of E and G are -6,-3 and 2,5.  a) The slope of segment…

Q: (f) P(-1.05 s Z) (g) P(-1.90 sZ s 2.00) (h) P(1.46 sZ s 2.50) (i) P(1.90 s Z) (j) P(IZ| < 2.50)

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Q: Let U = (2,1,0), V = (1,0,1), and W = (2, −1,1). Find the area of the triangle UVW

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