Determine which set are bases for R. Of the set that are not bases, determine v nearly independent and which ones span R°. Justify your answers.

Q: For what values of h is v3 in Span{v1, V2, V3} ? Ta 2 -3, v1 v1 = 9. -7 -61 h

A:

Q: 3 Given that u = 4i+ GJ and Iv[ = 2, find vif u and V are or thugonal to each other.

A:

Q: Let u = , v = , and w = . find uw

A:

Q: construct vw so that v= 2ab?

A: Here VW  and AB are line segments . To construct VW ,so that VW=2AB

Q: Define what R is and how it is related to r?

A: Normally, R and r means the same.  The correlation coefficient is denoted as R or r. The degree in…

Q: 13. Let A be the set A = {a, b, c, d}. Consider the relation R on A given by R = {(a, a), (b, b),…

A:

Q: Let w(x, y, z) = √x2 + y2 + z² where x = -8ret, y = 2te' & z = ert. дw dw Әх ду дz Әх ду Oz Ər Ət ar…

A:

Q: A body has initial velocity 20 m/s as it moves in a straight line with acceleration func- - m/s?.…

A: By using integration formula, we calculate the required values.

Q: (segment trisectors) Let A and B be two points. Prove that there are unique points C and D so that C…

A: Solve by using midpoint

Q: Convert the second-order differential equation d²y Ź-y = 0 into a first-order system in terms of y…

A: Let, v=dydtThen, d2ydt2-y=0or, ddtdydt=yor, dvdt=yThus, the 1st order system is dydt=v,  dvdt=yAnd…

Q: 5. PQRST is a pentagon. State a single vector that is equivalent to each of the following: A. PQ +…

A: Solutions

Q: Choose x such that the following two vectors are parallel u = (-5, 7, – 9) and v = (25, x, 45)> -7…

A:

Q: Let A = (1, 1, -1), B = (-3, 2, -2), and C = (2, 2, -4). Prove that ABC is a right-angled triangle.…

A:

Q: Let = ondu= a. Compute (ul. b. Compute +7. c. Compute 3u- 2 d. Compute e. Find o vector…

A:

Q: Evaluate - fr. ds over the unit cube defined by the point (0, 0, 0) and the unit intercepts on the…

A:

Q: Consider each A and B vector, make each of the following below TRUE or FALSE, and give brief…

A: To prove: A+B→ < A→OrA+B→2 < A→2…

Q: OABD is a square and the line segment OA, OB, OC a re represented by the vectors a, b, c…

A: In this question we will use laws of vector addition

Q: Let X and Y be points in R³. Let P be a point on the line segment joining X and Y such that the…

A:

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

A:

Q: ind the cross product a × b. a = i + 5j - 3k, b = -i + 4k

A:

Q: Let A = (-2,-2) and B= (2,-2) betwo points and AB subtends an ang in the plane in such a way that…

A: Since AB=4 and area of AAPB is 8,we have                 1 2×4×h=8 or h=4where h is the height of…

Q: G

A:

Q: -1-у? с1-у dz dx dy ダモ 420 そこ0 hーl=z メ=-u2 メ

A: