1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to plane PQR. a. P(1,1,1), Q(2,1,3) and R(3,-1,1) b. P(-2,2,0), Q(0,1,-1) and R(-1,2,-2)

Q: A triangle is formed by A = (3,3,1), B = (0, 1, 5), and C = (1, -4,-1). a. What are the angles of…

A: A triangle is formed by A=(3,3,1), B=(0,1,5) and C=(1,-4,-1).We need to find:a the angles of this…

Q: Using the same vectors v = (1,3, 2) and w = (3,5,6) and the same poin P= (8,4,-2). Find the equation…

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Q: a) Consider the point R(1, -3,5) and the vector . If = SR, find the point fully labeled sketch…

A: Remember : AB→=OB⇀-OA⇀

Q: 4. Find an equation (in point-normal form) of the plane containing the points K, M, and N. 5. Let R…

A: This is a problem of Vector Algebra.

Q: Use the cross product to determine the angle between the vectors [4, 5, 2] and= [-2, 6, 1]. Verify 9…

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Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: The points P and Q have position vectors -3i –j+17k and 8i+9j+2k respectively when referred from the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Consider the points P(-1, 1, 0), Q(2, -1,2), and R(1, 1, 3). Show your work for the compu- tations…

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Q: Consider the points P = (1,1) and Q=(3,-1). (a) Draw the points P and Q and draw an arrow from P to…

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Q: Find the vector of length v7 in the direction of AB + AC

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Q: , If P(2,-2,1) , Q(3, -1,2) and R( 3,-1,1) ノ a) find the area of the triangle determined by the…

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Q: 4. If the position vectors of the three points A, B and C are (2, 4, -1), (1, 2, -3) and (3, 1, 2)…

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Q: If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the…

A: Given that a line is parallel to the vector 6i+7j+2k and passes through the point P=5, 1, 7. We know…

Q: 3.Vector (3, −7, 5) is normal to a plane P and point (0, 0, −2) is in the plane. Provide equation of…

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…

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Q: The distance from point A(8,-6, 3) to the line L: x=-2-6t, y=9-6t, z = 9+5t is: Hint: The distance…

A: Given that The point A8,-6,3 The line L  :  x=-2-6t   ,  y=9-6t   ,  z=9+5t L  :…

Q: 12. Given a point P(1,-2,-4) and a point P2(3,1,-5), find a unit vector that has the opposite…

A: Step 1:Step 2: Step 3: Step 4:  thanks...

Q: 14. Given the three points 4(2,-1,2), B(-1,1,4), and C(4,3,-1), find: (a) the angle between RAB and…

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Q: a) Given two points P (2, -5, -1) and T (-2, 4, 3) find vector PT .  b) Given vector PE = [−1, 5, a]…

A: a) Given two points P (2, -5, -1) and T (-2, 4, 3) find vector PT .  b) Given vector PE = [−1, 5, a]…