R lies between J and W on JW. Given that JR: RW = 3:4, R = (-5,1), and W = (6,8), find the coordinates of J.

Q: BC cuts the x-axis at D. E is a point on AC such that BA // DE. Given points A(-4,8), B(5,2),…

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Q: Given u = (4, -2) and v = 3i + 5j. Find u + v, v - 2u, and -6u + 5v in component form.

A: ai + bj + ci + dj = (a+c)i+ ( b+d)j

Q: U = 11. mi + 2루= (a) m

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Q: If v = 31 - 5j and w = - 7i+ 4j, find 3v - 4w. О А. 37i- 31ј О В. 171-10] О с. - 4i-j O D. - 19i + j

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Q: Let A = (-1, 6), B = (1, 0), and C = (10, 3). Prove that AABC is a right-angled triangle. Let u =…

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Q: Given XZ with X(-4, 3) and Z(6, -2), find the coordinates of Y if Y divides XZ one-fifth of the way…

A: The given line XZ cuts in two-part, The ratio of these parts is XY : YZ = 1 : 4. So we use here…

Q: Let E = (2,7) and F = (10,1). On the line through E and F, there are two points that are 3 units…

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Q: Let à x b = -38 i +6 j 20 k Where a = -2 i + 4 j + 5 k and b = mi + 6 j − 2 k, ɓ Calculate m, là b,…

A: Basic formulas from vectors will be used.

Q: let v =〈−2, 5〉and w =〈3, −2〉. Sketch v, w, and 2v − 3w.

A: Given vector:                   v=-2,5 and  w=3,-2   Algebra of vectors: Let v = x1, y1 and w =  x2,…

Q: 3. The endpoints of QR midpoint M. are Q(1,6) and R(-7,3). Find the coordinates of the

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Q: Find the length and direction (when defined) of u x v. When : u = 2i +2j -k; v = -i + k;

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Q: Set a = i+xj+k and b = 2i−j+yk. Find x and y given that a is perpendicular b and their lengths are…

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Q: Let U₁= - 3. For what value of h is j in the plane spanned by ₁ and ₂? h V₂ = -9 [18] ý 11 -

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Q: Given j(1,9) and K(7,4): Write an equation for the line through J and perpendicular to JK

A: 1) the slope of line passing through points A (a,b) and B (c,d)  is m=b-da-c. 2) the slope point…

Q: Given u = - i+j, v = 10i-4j, and w= -8j, find proju (v + w).

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Q: Given u⃗ =⟨2,−5⟩ and v⃗ =⟨4,−4⟩, find the dot product u⃗

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Q: Find WX. 2.x + 16 X, Y 7x – 29 W

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