v₁ = (-1,2,1) ₁₂=(3, 1, 1) v₂ = (5,3, k) For which values of k a) {V₁, V₂, V3} spans 1R² ? b) ₂ 6 Span {4₁, 4₂} <) 1₂ € Span {√²₂₁, V;} d) v₁ 6 Span { V₂, V

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

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Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: from one point to another, or [x₁ − x₂] + |y₁ - y₂ for points (x₁, y₁) & (x2, Y2). Plot A(2, 5). A)…

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Q: For what values of h is v3 in Span{v1, V2, V3} ? Ta 2 -3, v1 v1 = 9. -7 -61 h

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Q: 1. fCx)=メ?+6スープ (a) upward or downward? (6) axis f symmetry: x= le) verter C

A: Topic = Quadratic equation As per guidelines , at a time only three sub-parts can be answered.   If…

Q: ame: Date: 1. fx]=x +2x -X-2 2. x)=x-2x 8 Rel. Max Rel. Min: Rol. Mox Rel Min: Abs. Mox. Abs. Min.…

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Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = &lt;-1, -5, -2&gt; and QR = &lt;3, 5, 1&gt;. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

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Q: Q3/ plot the points A (0, 1), B (3,2), C(2,1) and D(-3, 0) and determine wether or not ABCD is…

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Q: A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11. y= B) Find ALL x…

A: To find  A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11.   y=   B)…

Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)…

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Q: The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and…

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Q: 4. A right triangle has vertices (-2,5), (-2,–3) and (4,-3). Find its area and perimeter. does -8 .7…

A: Given : Triangle of co-ordinates (-2,5) , (-2,-3) and (4,-3)Side length of triangle:a=8   b=6   so…

Q: Determine the length of x = 4(3 + y)* , 1<y<4 %3D

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Q: 3,10 on coordinate plane

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Q: D, E, F

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Q: SW= 3, g(2)=. n+3 (iYHow do I find (fo5) (a) and the domain of ) How do I find tgopte (gog)2) and…

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Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: What is the distance between the point P(-2,5, 3) and Q(6, 4, -2)? | O 3/10 O 2v22 O 90 O 4/3

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Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

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Q: Given the graph of the hyperbola choose its only correct implict equation below. 8 (-2, 6) 6. (2, 6)…

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Q: The coordinates of X are (11,-1) and Y are (5,2). Point X is the midpoint of YZ. What are the…

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Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: two bees leaving an area in a straight path. Bee's 1 path: r1(t) = + t and Bee's 2 path: r2(s) =…

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Q: Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3).…

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Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

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Q: F(n) =3 Cn-2) C2n+2) Cn -7) For Funchon given 1) Determine the domain 2) Determine the range 3)…

A: Topic - domain ,range and intercepts of function

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…