1. Given vectors as shown in the figure, what is the direction vector Č = Ä + ? (A) 15° above the x-axis (B) 75° above the x-axis (C) 15º below the x-axis (D) 75° below the x-axis 2.0 cm a= 30° 2. With the same vectors as given in the above problem, what is the direction vector D = Ä – B ? 2.0 cm (A) 15° above the x-axis (B) 75° above the x-axis (C) 15º below the x-axis (D) 75° below the x-axis

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: Let a 3 = 3 and b -(1)-(²) = 0 Angle a. What is the angle between the vectors? Give your answer (in…

A: Given: a=330 and b=3-22. To find: a) The angle between the two vectors a and b. d) Area of triangle…

Q: The problem below refers to a vector V with magnitude |V| that forms an angle 0 with the positive…

A:

Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A:

Q: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive…

A: Given      v=373 , θ=19°20 'Find VX , VY.

Q: A man starts walking from home and walks 5 miles at 20° north of west, then 8 miles at 10° west of…

A: Draw the figure according to question:

Q: 3. In the above problem, what is, ĮD|, the magnitude of vector Ď = Ä – B ? (A) 1.0 cm (B) 1.1 cm (C)…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: 1.) Find the angle between the vectors v = -6i + 2j and w = i+ 7j

A: Solving by dot product we have

Q: 10. In the figure here, D is the midpoint of side AB of triangle ABC, and E is one-third of the way…

A:

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = b = ||

A: Given,           The angle between the vectors a=<3,1> , b=<0,4>We know that,…

Q: Determine the angle between the following vectors, to the nearest whole degree. p = [-3, 5, – 1] q =…

A:

Q: 33. If 0 is the angle between two nonzero vectors v and w, and v· w < 0, what is the range of 0?…

A: Use the geometric definition of the dot product to calculate the angle between two non        zero…

Q: For the two vectors a and b, we have |b| == 5, |a] = v2, and the angle between a and b is a/4. Then…

A: Given two vectors and magnitude, angle of the two vectors then a. b = |a|.

Q: if theta is the angle between the two vectors, v, and w, find the measure of angle theta in degrees,…

A: Use given vectors find angle between them

Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: 5. For the vector OP = (1,4,-2), determine the direction cosine and the corresponding direction…

A:

Q: a/The angle between the two vectors A2 Bz 3 TT 2

A:

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: V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

A:

Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

A:

Q: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: 2) A is 8.5cm long and pointed to the right (+x axis). B is 6.0cm long and pointed up and to the…

A:

Q: a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

A: Vectors are geometric representations of magnitude and direction which are often represented by…

Q: The problem below refers to a vector V with magnitude |V| that forms an angle 0 with the positive…

A: The vector v form an angle thita with positive x-axis , where Now, magnitudes of horizontal and…

Q: What are the indices for the directions indicated by the two vectors in the sketch below? 04…

A:

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: =5, and the angle between u and v is 30°. Find the magnitude (to onc decimal place) and direction…

A: Given that: |u→|=2 and |v→|=5 and angle between u→ and v→=30°

Q: Find the magnitude Iv|| and the direction angle 0 for the given vector v. v= - 7i+ 10j ... (Round to…

A:

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u = i - j, v = 3i…

A: Here we will find the angle between given vectors,

Q: For this problem, define the vectors v = and w = . Blank 1: Compute v - w. Blank 2: Is the angle…

A: Explanation of the answer is as follows

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: The horizontal vector A has magnitude A = 2.2 and its direction is 0 = 35° east of north*. (For your…

A:

Q: How would I go about solving this?   Find the angle theta between the vectors in both radians and…

A: Using dot product we have

Q: this case, give the magnitudes of the horizontal and vertical vector components of V, namely Vx and…

A:

Q: rigure r3.I| Problems 11 and 22. Three displacements are A 200 m due south, B : due west, and C 250…

A:

Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

Q: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive…

A: Given: A vector V with magnitude │V│ and makes an angle θ with the positive x – axis. │V│= 11.6 and…

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

A:

Q: and D. Find the values of x such that the angle between the vectors is 90".

A:

Q: e) A fish tank in an avant-garde restaurant is in the shape of a parallelepiped with a rectangular…

A: In the question it is asked to solve for a.(b×c). Also the capacity of tank in liters.

Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A:

Q: 16. Find the magnitude of the vector and the angle 6, 0°<e<360°, that the vec positive x-axis. 7

A: Explanation and solutions is given below....

Q: The problem refers to a vector V with magnitude |V| that forms an angle with the positive x-axis.…

A: Answer is provided below

Q: Problem 1. Consider the two vectors Ā = {3î + 1ĵ + 5k}lb and B = {7î + 1ĵ + 7k}lb a. Calculate the…

A:

Q: Given that the angle between the vectors a and b is n/3, then the angle between the vectors -a and b…

A: Angle between two vectors a and b is π3 Let us find the angle between -a &amp; b  Represented in a…

Q: The vector w⃗  is 8 units long and makes an angle of 39∘ with the positive x-axis. What is the…

A: We have to find the component form of vector w.

Q: Here is a drawing of vectors a, b, and c. 18 ć Which equation correctly describes a in terms of b…

A: Given drawing of three vectors.

Q: Each problem below refers to a vector V with magnitude ) V ) that forms an angle u withthe positive…

A: For the given magnitude and angle V=425, θ=36°10'.

Q: Find the angle 6e between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Detailed Solution and Explanation is given below.....

Q: b) For what values of A, the vectors 2i -j+ 2k and 3i + 22 j are perpendicular?

A: If we have two vectors ai^+bj^+ck^  and a'i^+b'j^+c'k^ , then, these vectors are said to be…