Prove that planes a-y+3z - 2 0 and 2x 4y-2z-7=0 are crossing via the line L. | %3D Find the direction vector 3 of line L, that forms an acute angle with OY-axis and has length /66. Evaluate the acute angle o between the planes. n Answers: • Direction vector of L: • Angle between planes: (degrees).

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A: This is question of 3d geometry and locus.

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A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

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A: here we have

Q: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

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Q: Convert into rectangular coordinates. (2,-) 3

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A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

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Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).

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A: Since you have uploaded multiple question, according to our guidelines we have solved first question…

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Q: 3. Find the acute angle between the lines. x - 1 3 - y z+5 (a) l1: 3 (b) l1: r = 7 – 2t, y = 4+3t, z…

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A: We will use vector properties and equations of line and plane to solve all part  Note : I have…