1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (b) Find the angle of vector A from the +x-axis. 2. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H = -3j I = -4i +4j Which of the following pairs of vectors are PERPENDICULAR to each other? I. A and B II. F and G III. G and H IV. C and I
1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (b) Find the angle of vector A from the +x-axis.
2. Please refer to the following
A = 6i + 2j - 3k
B = 3i - j - 2k
C = -i + j - 4k
D = j - 3k
E = -i + 2k
F = -5k
G = 2i
H = -3j
I = -4i +4j
Which of the following pairs of vectors are PERPENDICULAR to each other?
I. A and B
II. F and G
III. G and H
IV. C and I
3. Please refer to the following vectors:
A = 6i + 2j - 3k
B = 3i - j - 2k
C = -i + j - 4k
D = j - 3k
E = -i + 2k
F = -5k
G = 2i
H = -3j
I = -4i +4j
Two airplanes started drifting away from the origin along the directions of displacement vectors {B} km and {E} km respectively. If vectors B and E are their position vectors in rectangular
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