A) compute x the component of x that is parallel to L and x the component of x that is orthogonal to L B) compute the reflection of x across the line L; refL(x)

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

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Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: 4. Given that the Cartesian equations of line L is y = 3, x + 2 =z. A(2,1,0) and B(1,4,5) are two…

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Q: Q7. a) Consider the vectors u , v and w are defined by u = i+j ,v = i+ 4j and w = 4i – 3j i. If the…

A: Given :

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A: Given, 3 vectors or points, A(2,1,-1) B(5,-1,2) C(8,-3,5)

Q: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

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Q: 3. Show the parametric form of the line that passes through points A(3, 6, 1) and B(2,10, 5) Compute…

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Q: When X and Y are moving in the same direction the cross-products are likely to be

A: Cross Product :  It is a vector operation that acts on vectors in three dimensions and results in…

Q: Determine the area of AABC if A = (2, 1), B = (5, 3), and C is the reflection of B across the x…

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Q: 1 ··· 7. Compute the orthogonal projection of origin. onto the line through A- 2 and the

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Q: Prove that the reflection along the line y = −x is equivalent to reflection along the y-axis…

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Q: Let ä(t) = (5, 4, 2)t + (-6, -4,1) and (u) = (-2, 1, 2)u+ (2, -8,-6). Find the acute angle between…

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Q: Describe the reflection of △FGH△FGH with vertices F(−3, 2), G(−4, −1)F(-3, 2), G(-4, -1), and H(−6,…

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