1. Do the vectors 日 span R (over R)? Justify your answer (using methods and results that we have seen in this course).

Q: 7. Vectors vị, V2, and u are shown below: V2 Let B = {v1, v2}. Find the coordinates of [u]g. (w» [)…

A: From the given graph we can infer that v1=(2,1) and v2=(-1,3) and u=(4,5)B={v1,v2}AX¯=bHere…

Q: When the vector b = -2 is projected onto the line spanned by the vector a = 1 what is the error 2…

A: The projection of b onto a line spanned by a vector a is  b.a^=b.a|a| Given:  b=[-2-2-1]…

Q: 4. Determine the angle between vectors p = [- 3, 4, - 12] and q = [− 6, 0, 8]. MacBook Air ! F6 B

A:

Q: 'S' is a collection of vectors. Show that the rank of S is equal to the dimension of Span(S). Please…

A: Let  is a collection of vectors. Now, let the rank of is equal to  (say).It's row reduced eschelon…

Q: 3. Given two vectors x = [0, 1, 1] and y = [- 3, 0, 0], use your knowledge of vectors to determine…

A:

Q: Let L be the line y = 6 – 4x in R?. Find vectors a and b so that v = a+tb is a vector equation for…

A: Vector equation of line

Q: a) Let i = xî + yj + zk, r = |7| and å is a constant vector. Find the value of %3D dxr div

A: We will find out the required value.

Q: 4. Subtract the vectors shown. (blue - green)

A:

Q: Please try to answer & explain me this question.   Determines the Cartesian equation of the plan…

A:

Q: 2. Consider the vectors [2, 1, 0, 0], [3, 1,0, 0], [0,0, 0, 1) in R". Find a vector v so that v, (2,…

A:

Q: Find any two non collinear vectors on the plane x-y-3z +6=0

A:

Q: 5. Find the real part of the dot product of the vectors u" = (1 – i,1+ i) v° = (5+ i, –3 – i)

A: SOLUTION:

Q: CUT OUTecnier ne represent the number of hawks and crows, respectively: =1-y = 2² - 3² , where the…

A:

Q: 1. Use the right hand rule to determine which of the following vectors ( î, -î, ĵ, -ĵ, k, –k ) would…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Find a unit vector with positive first coordinate that is orthogonal to the plane through the points…

A: Given that the points P-2,-3,-1 Q3,2,4andR3,2,7  .

Q: Find all vectors of norm 4 parallel to the line x− 2y = 3.

A: To find vectors of norm 4 that are parallel to the line x - 2y = 3, we can use the direction vector…

Q: At what value of k are these vectors collinear?

A:

Q: Find the values of x such that the angle between the vectors and is 45°.

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

Q: The plane passing through the three points A(0, 1,3), B(3,4,3) and C(2,3, –1) can be expressed as a…

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Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

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Q: o find the image of v and the preimage of w. , 2vq – v2 ), v = (1, 1), w = (-7/7, 2, -20) age of v…

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Q: 1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1)…

A: solution:-(1) for orthogonal vector u·v=0(a)u·v=1,0,1·0,1,1=1×0+0×1+1×1=1  not…

Q: Determine if the three vectors lie in the same plane: a = (-2, 1, 3) and b = (3,-2,4), and =(-19,…

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Q: 1 Find two vectors of norm 1 that are orthogonal to the vectors u = and v = 3

A: Given problem is :

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

A:

Q: A = x6- y9+z3 B = x6- y3+z9 C = x 2- yl-zl For the given vectors A,B, and C show that whether C is…

A: