A line is defined by the vector equation r x (-i+j+3k) = 3i – 6j + 3k and a plane is given byr (3i – 2j + k) = 10. Find where the line and plane intersect. (i) Find the acute angle in radians between the line and the plane to an accu- (ii)

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A: Explanation of the answer is as follows

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A: THE GIVEN QUESTION CAN SOLVED AS SHOWN IN STEP2.

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: We will find out the required values.

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A: Hi there, At a time we can answer only one question. So, I have answered first one (#6).

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.