Suppose ū = (2, 2) and ī = (8, –4) are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are Separate answers with a comma. Are the following parts of Lecture Notes helpful? v Sections 1.1.1-1.1.4 and 1.3. v Sections 1.4.1 and 1.4.2. ? Yes No

Q: Find a + b, 6a + 9b, lal, and la - bl. (Simplify your vectors completely.) a = (-6, 8), b = (6, -1)…

A: a=-6,8 ,b=6,-1

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91,b] are collinear.

A: Given,            Two vectors are a→=a,26,32 and b→=49,-91,b are collinear.To find : Determine the…

Q: (-1,4, 12) + (3i – 6j – 14k)

A: We get the sum of the vectors as…

Q: Given vectors = (-6,-3) and = (-3,5); find -3u+40. O=(29,6) O=(-27,-15) O=(27,8) O=(-15,-27) 0 =…

A: The objective of this question is to find the resultant vector of -3u + 4v, where u and v are given…

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

A:

Q: Vectors. 3U-4v U=6,7 and v=6,-7

A:

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

A:

Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

A:

Q: A parallelogram is formed by the vectors a = (1, 0, -1) and b = (2, 1, 1). What is the area of the…

A:

Q: Given the following vectors: a. Draw a + b b. Draw a - b C. Draw -3a

A: (a).             a+b…

Q: Find two vectors v1 and v2 whose sum is , the rest is on the photo

A: We know if two vectors are parallel then they have same direction or opposite direction. If two…

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: 10. Answer the question from the diagram below. * Refer to the figure below, which shows four…

A: apply triangle law of vector addition,S→=-N→+M→

Q: 1. For vectors ū and shown, drawu - 20 13 19

A:

Q: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: If u = 2i -j- 3k, w = 3i – 9j+ 5k and v = perpendicular. 15i – 3j – 5k, then the vectors are Select…

A: which option?

Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: 3. Below are 2 vectors in component form. Graph these vectors in standard position and then find…

A: (a)-v=-2,7v=-2i+7jv=-2i2+7j2=4+49=53tanθ=7-2θ=tan-17-2θ=-74.05°Therefore θ=-74.05°+180=105.95°

Q: -4 3 and -2 5. List 5 vectors in the span of 1

A:

Q: a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 =…

A: The given vectors  and .(a) The aim is to write the vector  as a linear combination of the given…