Question 19 9 ---W-B V= 201 46 Let u= 0/1 pt 299 De W= -4 . For what value of h is w in the plane spanned by u and v? h

Q: 1.9 Perpendicular unit vector* Find a unit vector perpendicular to A = (î + j- k) and B = j- 3k).…

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Q: Correct

A: We find the required equation of line.

Q: F(x, y, z) = (z sint z sin(ar), e²y-2 X b+y

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Q: 1 -2 4 17. Let a 4 a2 -3 and b : For what 7 value(s) of h is b in the plane spanned by aj and a2?

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Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

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Q: 1. Letz =1+i,1,=-1+i, locate the numbers z+ z, and , vectorially in the rectangular coordinate…

A: We are Given that : z1=1+iz2=-1+i ⇒z1+z2=(1+i)+(-1+i)=2i and  ⇒z1-z2=(1+i)-(-1+i)=1+i+1-i=2

Q: The line through the points the points (xo,Yo, Zo) and (x1,y1, z1) be parametrized by the function T…

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Q: Let u = 4 h = V= and w= 1 . For what value of h is w in the plane spanned by u am

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Q: 4. proj: = proju 5. proju (cu) = 6. u (v+w) = c proj uv+uw

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Q: 4. Consider the vectors u,v and w are defined, u = 3i-j+4k, v = 4i – 2j +6k and w= 5i+2k (a) Express…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given is the plane V : a · x = 9 with a = (2, -3,6)t. Calculate the distance from O= (0,0,0) and…

A: Given that:The Plane  with To find: The distance from  and  to V.Concept:The distance d between a…

Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

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Q: Let l be the line y = - (7x + 5) in R21 Find vectors dland b so that v = a + tblis a parametric…

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Q: Which of the following is the least distance from the point (2, –1,1) to the plane x + y – z = 2?

A: Given: The plane equation is x+y-z=2and the distance from the point is 2,-1,1 To find the least…

Q: u Xv = v X u If u and v are vector in R, then

A: We know that in R2. u×v = -(v×w).

Q: Find the cross product a x b. a=i-j-k, b=¹i+j+½ k Verify that it is orthogonal to both a and b. (a x…

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Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is…

A: First we find direction vectors of the plane of solutions.

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: 4. Find the unit bivector for the plane z = x+y. Where xe₁+ ye2 + zez denotes an arbitrary point on…

A: As per the question, we are asked to determine the unit bivector for the plane defined by the…

Q: Which of these is the correct parametrization of the line connecting (1,2,5) and (0,3,– 1)? A. x =…

A: We know that parametrization of the line connecting pointsx1,y1,z1,x2,y2,z2 is given by x=x1+tx2-x1;…

Q: cos 0, i + sin 01j and u2 = cos 02 i + sin 02j where i, j are the Cartesian unit vectors. Find the…

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Q: Subject: Elements of Set Theory Greetings,I am really having difficult time with these problems that…

A: (a)We have to prove:

Q: If false explain why. Justify your answer. True or False: “Let L be a line in R3 with direction…

A: It is given that “Let L be a line in R3 with direction vector d, and let P be a plane with normal…

Q: Lizzie came up with a divisibility test for a certain number m + 1: • Break a positive integer n…

A: Consider the number 36486444. Break the positive integer into two-digit chunks starting from the…