Question

2. Two vectors, ~v1 and ~v2. ~v1 has a length of 12 and is oriented at...

2. Two vectors, ~v1 and ~v2. ~v1 has a length of 12 and is oriented at an angle θ1 = 30o relative to the positive x−axis. ~v2 has a length of 6 and is oriented at an angle θ2 = 0o relative to the positive x−axis (it is aligned with the positive x−axis)

a. What are the magnitude and direction (angle) of the sum of the two vectors ( 1+2 ~v = ~v1 + ~v2)?

b. What are the magnitude and direction (angle) of the difference of the two vectors ( 1~v −2 = ~v1 − ~v2)? Suppose we again want to add a third vector, ~v3, such that the sum of all three vectors is zero; ~v1 + ~v2 + ~v3 = 0.

c. What are the magnitude and direction of the vector ~v3 which satisfies the above relationship?

( ~ is to indicate the arrow above the lines)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. Vector Practice a. Determine the magnitude and direction of the sum (V1+V2)of the two vectors...
2. Vector Practice a. Determine the magnitude and direction of the sum (V1+V2)of the two vectors V1=3i+2j and V2=4i+j b. Determine the components of a vector, with a magnitude of 10.0 and a direction of 40.0 degrees above the positive x-axis.
The two vectors a and b in the figure have equal magnitude of 9 m and...
The two vectors a and b in the figure have equal magnitude of 9 m and the angles are θ1 = 26° and θ2 = 95°. Find the x-component and y-component of their vector sum r. What is the magnitude of their vector sum r? Find the angle that their vector sum r makes with the positive direction of the x-axis.
The total electric field consists of the vector sum of two parts. One part has a...
The total electric field consists of the vector sum of two parts. One part has a magnitude of E1 = 1400 N/C and points at an angle θ1 = 35o above the +x axis. The other part has a magnitude of E2 = 2100 N/C and points at an angle θ2 = 55o above the +x axis. Find the magnitude and direction of the total field. Specify the directional angle relative to the x axis.
The total electric field E consists of the vector sum of two parts. One part has...
The total electric field E consists of the vector sum of two parts. One part has a magnitude of E1 = 1012 N/C and points at an angle θ1 = 32° above the +x axis. The other part has a magnitude of E2 = 1667 N/C and points at an angle θ2 = 58° above the +x axis. Find the magnitude and direction of the total field. Specify the directional angle relative to the +x axis. magnitude N/C direction °...
Exercise 6. Consider the following vectors in R3 . v1 = (1, −1, 0) v2 =...
Exercise 6. Consider the following vectors in R3 . v1 = (1, −1, 0) v2 = (3, 2, −1) v3 = (3, 5, −2 )   (a) Verify that the general vector u = (x, y, z) can be written as a linear combination of v1, v2, and v3. (Hint : The coefficients will be expressed as functions of the entries x, y and z of u.) Note : This shows that Span{v1, v2, v3} = R3 . (b) Can R3 be...
266) (H) Find the resultant of the two vectors. (M1=8.57; A1=58.7) = V1; (M2=3.94; A2=52.1) =...
266) (H) Find the resultant of the two vectors. (M1=8.57; A1=58.7) = V1; (M2=3.94; A2=52.1) = V2; (M3,A3)=V3=V1+V2 M=magnitude and A=angle in degrees. answers=M3 and A3 (deg) The resultant of two vectors is the same a the sum of them. There are 2 answers.
Find two non-parallel vectors v1 and v2 in R2 such that ||v1||2=||v2||2=1 and whose angle with...
Find two non-parallel vectors v1 and v2 in R2 such that ||v1||2=||v2||2=1 and whose angle with [3,4] is 42 degrees. *Note: [3,4] is a 2 by 1 matrix with 3 on the top and 4 on the bottom.
1) Find the angle θ between the vectors a=9i−j−4k and b=2i+j−4k. 2)  Find two vectors v1 and...
1) Find the angle θ between the vectors a=9i−j−4k and b=2i+j−4k. 2)  Find two vectors v1 and v2 whose sum is <-5, 2> where v1 is parallel to <-3 ,0> while v2 is perpendicular to < -3,0>
Consider the two vectors, A and B, for which the length and angle are given below....
Consider the two vectors, A and B, for which the length and angle are given below. What would be the x and y components of the the vector sum C = A + B? length of A = 3.606, angle A makes with respect to x-axis = 236.31 degrees length of B = 4.243, angle C makes with respect to x-axis = 45.000 degrees Cx= Cy=
Three vectors a→, b→, and c→, each have a magnitude of 53.0 m and lie in...
Three vectors a→, b→, and c→, each have a magnitude of 53.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 32.0 ˚, 191 ˚, and 311 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector a→+b→+c→ (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of a→-b→+c→ in the range of (-180°, 180°)? What...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT