Given the vectors v =i+ 3j – 2k and w = 3i – 4j + k. Find the area of the parallelogram with sides given as v and w. О А. 10.82 O B. 22.83 о С. 18.47 O D. 27.44 O . 15.59

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

A:

Q: 1. Find the angle between vectors w=-37+√3 and v= Answer: 0 = 5π 6 = v = (√3₁-3) 150⁰

A: To find the angle between vectors w→=-3i→+3j→ and v→=3, -3.

Q: 4. A|-2,5 А = 2, B = 3 and the angle formed by A and B is 120°. Determine the unit vector in the…

A: Solving

Q: 7) Find the sum of the vectors shown below 41.5 km 25.0° 42.2° 22.3 km 62.6° 51.6 km

A:

Q: 3. If A = 60 lbs @164° and B = 32 lbs @222° find the sum of vectors A and B.

A:

Q: Given the vectors v = 2i + 3j - k and w = 4i – 2j + 3k. Find the angle between v and w O A. 61.56°…

A: Formula: Angle between two vectors a and b is θ θ=cos-1a⏞.b⏞ab

Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

A:

Q: The angle that vector A =2ax+3a,+8az makes with x-axis is 56.14 42.03 76.82 68.19

A:

Q: 3і - бј — 2k

A:

Q: 1. Given two vectors, a = nearest degree. [1, 2, 4] and b = [− 6, 0, 3] determine the angle between…

A:

Q: . Given a and b are unit vectors, and the angle between them is 60deg , determine the value of |2a −…

A:

Q: 16. 7 -7 – 37 – k

A:

Q: I. Find the lengths of vectors u and v. Find the angle between ū and v. 1. u = √ = 123' 2. 2 √ = 234

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: Consider the points P(6, 7) and Q(7,-8). (a) Determine vectors OP and OQ. Express the answer by…

A:

Q: What is the area of the parallelogram generated by the vectors a = 8i +3j-ky b-i-j+10k? A. 101.58 B.…

A: We have to find the area of the parallelogram generated by the two vector

Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

A:

Q: Determine if the following vectors are orthogonal. 12 1 v = 1 ..... Select the correct choice below…

A:

Q: 10 A (-8,-8) В (0,8) С (8,8) -10 10 D (0,-8) Е (0,0) -10,

A:

Q: Find the angle (in radians) between the vectors u and v below. 1 2√3 3 0 u= √3 v= 4√3 Give exact…

A: ,

Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

A: