GO Here are two vectors: a → = ( 4 .0 m ) i ^ − ( 3 .0 m ) j ^ and b → = ( 6 .0 m ) i ^ + ( 8 .0 m ) j ^ . What are (a) the magnitude and (b) the angle (relative to i ^ ) of a → ? What are (c) the magnitude and (d) the angle of b → ? What are (e) the magnitude and (f) the angle of a → + b → ; (g) the magnitude and (h) the angle of a → − b → ; and (i) the magnitude and (j) the angle of a → − b → ? (k) What is the angle between the directions of b → − a → and a → − b → ?
GO Here are two vectors: a → = ( 4 .0 m ) i ^ − ( 3 .0 m ) j ^ and b → = ( 6 .0 m ) i ^ + ( 8 .0 m ) j ^ . What are (a) the magnitude and (b) the angle (relative to i ^ ) of a → ? What are (c) the magnitude and (d) the angle of b → ? What are (e) the magnitude and (f) the angle of a → + b → ; (g) the magnitude and (h) the angle of a → − b → ; and (i) the magnitude and (j) the angle of a → − b → ? (k) What is the angle between the directions of b → − a → and a → − b → ?
a
→
=
(
4
.0
m
)
i
^
−
(
3
.0
m
)
j
^
and
b
→
=
(
6
.0
m
)
i
^
+
(
8
.0
m
)
j
^
.
What are (a) the magnitude and (b) the angle (relative to
i
^
) of
a
→
? What are (c) the magnitude and (d) the angle of
b
→
? What are (e) the magnitude and (f) the angle of
a
→
+
b
→
; (g) the magnitude and (h) the angle of
a
→
−
b
→
; and (i) the magnitude and (j) the angle of
a
→
−
b
→
? (k) What is the angle between the directions of
b
→
−
a
→
and
a
→
−
b
→
?
Given two vectors A = 2ax + 4ay + 10az , B = - 5 ap + ad - 3az, and point P(0,2, - 5 )
!!
The angle between A and B at P =
150.9
o 123 9
70.9
50.9
LL
Axax = B x ax; (d) A C = BC and Ax C = B x C where C is any
vector except C = 0.
29
ax
Express the unit vector a, in spherical components at the point: (a) r = 2,
0 = 1 rad, p = 0.8 rad; (b) x = 3, y = 2, z = -1; (c) p = 2.5, p = 0.7 rad,
z = 1.5.
1.30 Consider a problem analogous to the varying wind velocities encountered by
PLESE ANSWER IN 10 MINUTES!!!
Consider the two vectors shown below. The two vectors have magnitudes of IAI=20|A→|=20 and |BI=18|B→|=18. The small angles the two vectors make with the x-axis are TETA ?=16?θA=16o and TETA B=24oθB=24o. Determine the magnitude of the vector |C||C→| given by:
C = 3A - 2B
Please express your answer using zero decimal place.
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