Q5. Given two vectors a = <3, 2, 1> and b =< 1, -3, -2 > . Find (i) (a + b). (axb) (ii)the angle between a+b and axb.

Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

A:

Q: (a) Find the direction angles for the vector ỉ =AB ỉ +CD j +EF k. "Example if A=5 and B=7 so AB=57."…

A:

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: For two vectors A and B, what is the value of A X B²+ (A.B)²?

A:

Q: Let A = (-3, 4), B = (-2, b), C = (1, 6), and D = (a, 2). Then AB and DC are opposite sides of the…

A:

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = &lt;5, 7&gt; and v = &lt;-5, 2&gt; If x = &lt;a, b&gt; and y =&lt;c, d&gt;are two…

Q: Find the solution of sin² (x) – 4sin (x) – 1 = 0 for all angles between 0 and 2n.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Given, vector a = (3, 4, -2), vector b = (2, -7, 1), and vector c = (-6, 5, 4). Evaluate |-2b x c|

A:

Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

A:

Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: please answer all i really need it and make sure it’s correct

A: Step 1: Step 2: Step 3: Step 4:

Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

A:

Q: M] - [8] x+y -3x+y.

A:

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

A:

Q: Given vectors = (5,-3) and = (-3, -6); find 4ū O=(12,32) ού = (8, 36) οὐ = (-32, -12) 0 = (32, 12) ο…

A: The objective of this question is to find the result of the scalar multiplication of the vector u by…

Q: 5) 5 li) Given that the vectors a and b are parallel, find the value of x when ()- 4 a and b = 8…

A:

Q: Determine the angles between the following pairs of vectors. (a) (−1, 1), (0, 1)     (b) (2, 0), (1,…

A: To determine the angles between the following pairs of vectors.

Q: 40. Given a = (3, –4) and 5 = (1, 2). Find the vector a + 25. O a. (5,-8) Оь. ( 5,0) O c. (4,-4) O…

A:

Q: Find the smallest positive angle between the given pair of vectors. (-1.5). (2.6) The smallest…

A:

Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: 36. Given vectors A, B, C and D (Fig.(b) below). Construct (a) 3A-2B-(C-D) (b) C+(A-B+2D). 30° 100…

A: The vectors A→, B→, C→ and D→ are given.

Q: Q3/A/ If ā = i – 2j + k , Find: i) (ā x b). (ā x c) ii) (ā × 5) × (ā x c) tho vectors 2i - i+ 2k and…

A:

Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V