2.4 Let u = -j +3k and v = 2i – k, find a unit vector that is orthogonal to the plane containing vectors u and v.

Q: Show that the vectors i - j, j - k, k - i are parallel to a plane.

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Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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Q: 1. Find a unit vector perpendicular to the line passing through the points (1, 0, -3) and (2, 1,…

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Q: Find the parallel projection of the vector v = onto the vector w=.

A: Given problem:- Find the parallel projection of the vector v=<4, -5, 7> onto the vector…

Q: Find a unit vector orthogonal to both u and v. u = -5i – 3j - 2k | V =

A: Two vectors A and B are said to be orthogonal to each other if and only if their dot product is zero…

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Find a unit vector in the xy-plane that is orthogonal to

A: Here given vector as a=123 Consider a vector as b=25-150 Now find the dot product of vector b to…

Q: 7. Find the real part of the dot product of the vectors u" = (i, 1+ i, 1) v* = (5 + i, –2 + 2i, –1+…

A: Dot product of complex numbers

Q: 2.) Find two vectors that are orthogonal to the vector v = 8i - j

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Q: Find a unit vector orthogonal to both u = i − 4j + k and v = 2i + 3j.

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Q: Find a vector function that represents the plane that passes through thepoint p0 with position…

A: The plane passes through the point p0 whose position vector is r0→. The plane also passes through…

Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

Q: Find a unit vector perpendicular to the plane containing the points A(1, 2, 3), B(3, 2, 1), and…

A: The given plane contains the three points .Now, find the vectors .

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

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