Find the (smaller) angle at the point of the following lines: U: (x₁y) = (1₁3) + r(2,5) of in

Q: The value of k such the functions f(x)=x-1 and g(x)=x+k are orthogonal on the interval [0,1] is…

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Q: Specify m to distance from point M (1;0) to the lines (Δ):4x+3y+m= 0 by 2.

A: Please see the below picture for detailed solution.

Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: The real part of (11x + 1 + iy)dz where C is the line joining 1- i to 2+ i is Answer:

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Q: What is the distance from P(2,4) to 2x-3y+1=0?

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Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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Q: Determine whether the following two lines L1 and L2 are parallel, interesecting, or skew. L1: x/2 =…

A: Solve the following

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

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Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: Let y = d -7 = 7 and u = -7 -2 Compute the distance d from y to the line through u and the origin.…

A: Introduction: Let l be the path connecting the origin to u. We can compute the projection of y onto…

Q: Find the angle between the following pair of lines: £ =2? =5] +k + 2(3 + 23 + 6k) and = 7i — 6k +…

A: A vector in the three dimensional space is represented by v=ai∧+bj∧+ck∧, where a, b and c are the…

Q: Find the distance from point A = (4, 7, 9) to the following line:

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Let P = (1,2,1) and Q = (0,2,−3). What is the distance between P and Q?

A: Given: Let P = (1,2,1) and Q = (0,2,−3).