Question

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 are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector d→ such that (a→+b→)-(c→+d→)=0?

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
Three vectors a→, b→, and c→, each have a magnitude of 54.0 m and lie in...
Three vectors a→, b→, and c→, each have a magnitude of 54.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 26.0 ˚, 191 ˚, and 314 ˚, 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...
Three vectors a→, b→, and c→, each have a magnitude of 40.0 m and lie in...
Three vectors a→, b→, and c→, each have a magnitude of 40.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 29.0 ˚, 191 ˚, and 315 ˚, 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...
Three vectors a→, b→, and c→, each have a magnitude of 44.0 m and lie in...
Three vectors a→, b→, and c→, each have a magnitude of 44.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 27.0 ˚, 192 ˚, and 315 ˚, 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...
Vectors A and B lie in an xy plane. Vector A has a magnitude of 8.1...
Vectors A and B lie in an xy plane. Vector A has a magnitude of 8.1 and angle 144 degrees relative to +x direction; Vector B has components Bx= -4.31 and By= -8.51. What are the angles between the negative direction of the y axis and a) the direction of Vector A, b) direction of the product of Vector AxB, and c) the direction of Vector Ax(Vector B + 3.00k)?
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.
1. The unit vectors of A are 5i + 6j + k, the magnitude of vector...
1. The unit vectors of A are 5i + 6j + k, the magnitude of vector B is 8.36, the angles they make with the x-axis, and z and z are 53.26, 69 and 44.13 respectively. Determine the unit vectors of B, the angles with the axes of A, the projection of both with the xy axis and the unit vector that makes the sum 2A + B. 2. Calculate, from vectors A, B, C and D, the following: •...
6.) Consider three force vectors F1 with magnitude 98 N and direction 9◦ , F2 with...
6.) Consider three force vectors F1 with magnitude 98 N and direction 9◦ , F2 with magnitude 83 N and direction 133◦ , and F3 with magnitude 76 N and direction 285◦ . All direction angles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0. What is the direction of F as an angle between the limits of −180◦ and +180◦ from the positive x axis with counterclockwise as the...
1) The magnitude of vector A is 16, that of vector B is 22 and that...
1) The magnitude of vector A is 16, that of vector B is 22 and that of vector C is 44. Vector A pointing north of west with an angle of 32o above the -x axis, vector B is pointing north of east with an angle of 19o clockwise (right) of the +y axis and vector C is pointing south of west with an angle of 58o below the -x axis. a) draw vectors A, B and C in the...
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...
Consider the following vectors d1 : d1 = (23.0 i + 32.0 j) m d2 :...
Consider the following vectors d1 : d1 = (23.0 i + 32.0 j) m d2 : |d2| = 21.0 m and d2 makes an angle of 149° with the positive x-axis. Find the following quantities: A. The magnitude of d1 and the angle θ between d1 and the positive x-axis. B. The resultant vector d = d1 + d2 in unit vector notation. C. The scalar product between d1 and d2. D. The vector product between d1 and d2. E....