The distance from the point A(1,0,1) to the plane that contains B(-1,2,3) and perpendicular to the vector u = < 1, -2, -1 > is O a. 1 √6 Ob. √6 O c. 2 300 W GN √5 O d. 3 √6 O e. 8 √6

Q: Determine for the two vectors: x = ai+bj+ck and y = ditej+Xk where a = 2.7, b = 4.5, c = -3.4, d =…

A:

Q: 9. Let b, and b, be any real numbers with | b, |31 and | by151. Let u- VI - bịi + b, Vĩ – bị j +…

A: Consider the given vector: Here the objective is to prove that the given vector is a unit vector.

Q: {0·0·0} - {0·8·0} - {0···0} II. I only B II only CI and II only DI and III only

A:

Q: Which of the following pairs of vectors are perpendicular? -/2 > and O A | -12 > and OB. - 2/2 >…

A: We need to find the pair of vectors which are perpendicular. This can be done as follows:

Q: Find x so that the vectors u and v below are perpendicular. 0 -7 u= 7 44 V= x -4 -7 x=0

A:

Q: Let A = space of A. Oh=2 Oh=-2 Oh-2 1 3 0 2 -1 Oh 2 2 2-2 Oh can be any real number. . Determine the…

A:

Q: Find a unit vector v = (v1, v2, Vz3) that is orthogonal to both vectors ā = (1, 2, 0) and b = (2, 1,…

A:

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

A:

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: Find the cross products u xv and vxu for the the vectors u = 2i-j-2k and v= i +3j - 3k. U XV= i+ j+k…

A: (.) Given vectors are,      (.) Corss product of two vectors  and   is given by,           &amp;…

Q: Find the angle between the two vectors u 2i+ j-7k and v =i-j+ 4k

A:

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

A:

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

A:

Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

A:

Q: Q.5) Determine and what is the differences between the two results. Also prove that is orthogonal to…

A: We have to find the difference between the vectors A→=-i^+8j^+4k^ and B→=i^+18j^-6k^. Also, prove…

Q: Find the vector expression for the line that is the intersection of the planes 3x−3y−2z=−2 and…

A:

Q: a. u=5i−2j+3k, v=4j−2k and w=−2i−4j−k. Find ||8u - 3v + w|| b. Find the unit vector that has the…

A: aGiven that the vectors u=5i-2j+3k  ,  v=4j-2k  and  w=-2i-4j-k .