Parallelogram ABCD has diagonals AC and BD that intersect at point E as shown. Which of the following statements is not always true?

Q: A least squares regression line is f(x) = -3.19x + 123.63, r 0.59. The strength of the direction is:

A: Given that,R-squared

Q: Given the points A : (−4, −2, −3) and B : (–5, 1, –4), find the vector ú = ū AB

A: Given Points A and B is as follows

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as…

A:

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

A:

Q: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: Show that direction vectors of the lines 3 L: and

A: We have to find the direction vectors for the lines L1: x-32=y+14=z-2-1 and L2: x-35=y+1-2=z-32.

Q: Find the cross product a x b. a4j-9k, -9i+5j + 12k b-i + 3j+k Verify that it is orthogonal to both a…

A: The given vectors  and .The objective is to find the cross product  and verify that is orthogonal…

Q: Consider the following three vectors in R³: V₁ = If b = , V₂ = 1 0 , V3 = 0 is any vector in R³,…

A: We have to explain why we can always write b as a linear combination of..

Q: Given the vectors a = (4,-2) and b = (-1,9), which statements is/are true? %3D V12 82 III. 3a - b -…

A:

Q: Given the Vectors a = 5i - 8j and b = -16i +11j what do we know about the vectors

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

A:

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

A:

Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 3) Verify that it is orthogonal to both a…

A: Given vectors are  a={4,5,0} and b={1,0,3} We have to find a×b

Q: Find b and c such that [-2,b,7] and [c,6,21] are collinear. Blank 1: Answer for "b." Blank 2: Answer…

A: Two vectors are said to be collinear if they are scalar multiples of each other. This means that one…

Q: 3 = w = -2i + 53 i = -5j å = b = -yỉ + xj

A: Given:v⇀=6,-3,w⇀=-2i+5j,z⇀=-5j,a⇀=x,y,b⇀=-yi+xj

Q: AABC has vertices at A (-3,-2), B (5,3) and C (5,-2). a. Sketch and label each of the points on a…

A: Given: ABC has vertices at  and Aim: To sketch the points on a graph.To calculate each of the…

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 a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

A:

Q: 16. Let u=2i+2j and v=-i+√3j. Find the angle between these vectors. (Hint: Graph each.) A. 120…

A:

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

A:

Q: 1. Graph the vectors a) (-3,0,0) Axis? b) (0,5.0) Axis? --

A:

Q: The orthogonal projection of v = 10i on b = -3i + jis <

A:

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

A: