Vectors A → and B → lie in an xy plane. A → has magnitude 8.00 and angle 130°; B → has components B x = −7.72 and B y = −9.20. (a) What is 5 A → · B → ? What is 4 A → × 3 B → in (b) unit-vector notation and (c) magnitude-angle notation with spherical coordinates (see Fig. 3-34)? (d) What is the angle between the directions of A → and 4 A → × 3 B → ? ( Hint: Think a bit before you resort to a calculation. ) What is A → + 3.00 k ^ in (e) unit-vector notation and (f) magnitude-angle notation with spherical coordinates? Figure 3-34 Problem 45.
Vectors A → and B → lie in an xy plane. A → has magnitude 8.00 and angle 130°; B → has components B x = −7.72 and B y = −9.20. (a) What is 5 A → · B → ? What is 4 A → × 3 B → in (b) unit-vector notation and (c) magnitude-angle notation with spherical coordinates (see Fig. 3-34)? (d) What is the angle between the directions of A → and 4 A → × 3 B → ? ( Hint: Think a bit before you resort to a calculation. ) What is A → + 3.00 k ^ in (e) unit-vector notation and (f) magnitude-angle notation with spherical coordinates? Figure 3-34 Problem 45.
Vectors
A
→
and
B
→
lie in an xy plane.
A
→
has magnitude 8.00 and angle 130°;
B
→
has components Bx = −7.72 and By = −9.20. (a) What is 5
A
→
·
B
→
? What is 4
A
→
× 3
B
→
in (b) unit-vector notation and (c) magnitude-angle notation with spherical coordinates (see Fig. 3-34)? (d) What is the angle between the directions of
A
→
and 4
A
→
× 3
B
→
? (Hint: Think a bit before you resort to a calculation. ) What is
A
→
+ 3.00
k
^
in (e) unit-vector notation and (f) magnitude-angle notation with spherical coordinates?
b) Consider two vectors ä = î - 2] + 3k, and b = 3î - 2zj + 5k, where z is a scalar.
vector & such that 3ä
4b-2c = 0.
If the vectors 6i- 2j + 3k, 2i+ 3j - 6k and 3i+ 6j- 2k form a triangle,
then it is
(a) Right angled
(b) Obtuse angled
(c) Equilateral
(d) Isosceles
1) For A = 2î - 3j and B = i+ 2j-k vectors; a) Determine the angle between the vectors
A +B and A-B; b) (A+ B) x (A –B) =? and c) Find the angle that A- B makes with
the positive z-axis
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