Triangle ABC is formed by three lines: (;)-(9) +-(;) - (AB) is 3 +r (AC) is and 6 -2 2 1 (;) - (") --(3). 10 (ВС) is +t where r, s, and t are scalars. Draw the three lines accurately on a grid. 6 Hence find the coordinates of A, B, and C. c Prove that triangle ABC is isosceles. d Use vector methods to check your answers to b. B

Q: d Perform the following Operations on the | 14 = (-2₁-3₁-5), V = (4₁-2₁-1) to W² = (-404) R₁W = [ (u…

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Q: I f(x,y) = sin 3(x+y) over the square 0≤x≤6.0sy≤ 6. R

A: We have to find the average value of function  f(x,y)= sin(3x+3y) Over the given square .

Q: 2) (i) Find the direction cosines for v= he sum of their squares equals 1. (2,3,4). (ii) Verify that

A: Direction cosine and ratios

Q: We have the following vectors: A = 2i - 2j + 3k, B=- -2i + 6j - 2k, C= -4i - 2j + k. Determine: a)…

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Q: Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an…

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Q: Find the cross products uxv and vxu for the vectors u = (3,4, - 9) and v = (- 1,-1,1). (Di+ k…

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Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

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Q: 1) (10 points) Let a = -1i+2 + 2k and b = 2i − j + k. a) (3 points) Find a b b) (3 points) Find the…

A: a. The dot product of vectors a and b is -2.b. The angle between vectors a and b is approximately…

Q: Three planes will have a point of intersection at (4,-7,-4). Create scalar equations for these three…

A: Let the Intersection point be: (A, B, -A)