Three vectors a, b, and , each have a magnitude of 42.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 26.0°, 195, and 313°, respectively. What are (a) the magnitude and (b) the angle of the vector a + b +7 (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of à - b. in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the -ange of (-180°, 180°)) of a fourth vector a such that (a + b)-( + d) = 0? (a) Number i (b) Number i (c) Number (d) Number Mi (e) Number i (f) Number i Unit Unit Unit Unit Unit Unit < < > > > <

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Three vectors a, b, and, each have a magnitude of 42.0 m and lie in an xy plane. Their
directions relative to the positive direction of the x axis are 26.0°, 195°, and 313 °,
respectively. What are (a) the magnitude and (b) the angle of the vector a + b + 7 (relative
to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of
à - b + 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 a such that (a + b) - (7 + d)
=
(a) Number i
(b) Number
i
(c) Number i
(d) Number i
(e) Number i
(f) Number i
Unit
Unit
Unit
Unit
Unit
Unit
>
<
>
Transcribed Image Text:Three vectors a, b, and, each have a magnitude of 42.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 26.0°, 195°, and 313 °, respectively. What are (a) the magnitude and (b) the angle of the vector a + b + 7 (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of à - b + 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 a such that (a + b) - (7 + d) = (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i (f) Number i Unit Unit Unit Unit Unit Unit > < >
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