Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P= (-2-3-1). Q = (3. 2. 4), and R = (3. 2. 7). 000 N

Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We have to find a vector equation with parameter t.

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

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Q: - 3)² = 81 then, find its ce or a=<3, -1

A: 1. Given: The points are 2,3,-6 and -1, 4, 5 To find the distance between the given points. The…

Q: Find the distance d between the points P₁(7, 1, 10) and P₂(−3, 10, 3) by first finding the vector v…

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Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=&lt;-4,3,7&gt;+t&lt;-4, -2,-12&gt;Explanation:Hope it helps youplease ask if you have any…

Q: If R =[E , F] ,Q =[F , C], Z = [D , B]. (a) Find the algebraic displacement vectors. (b) Determine…

A: (a) Algebraic displacement vector for points x1,y1 and x2,y2 can be written as follows:

Q: Compute the distance between the following vectors: V = W =

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Q: Given the vectors à = and b =

A: Given data: *The vector a→ is, a→=&lt;-3,0,-1&gt;=-3i+0j-k *The vector b→ is,…