b. Find the components and the magnitude of 2.00A − B.
D = A − B give the same result.
between them equal 45.0◦ . Find A · B.
A · B = (4.00)(2.00) cos (45◦ ) = 8.00 × 0.70711 = 5.66.
a. Draw a vector diagram of the two vectors.
b. Find A · B and (2.00A) · (3.00B).
c. Find A · B.
d. Find the angle between A and B.
A = (−3.00, 4.00, −5.00).
r = 2.00, θ = 90◦ , φ = 0◦ . Call this vector A.
a. Find |A| and |B|.
find the magnitude of B.
Exercise 4.9. Show that the vector C is perpendicular to B.
We do this by showing that B · C = 0.
B = (1.00)i + (3.00) j − (2.00)k.
1.00k and B = 1.00i − 1.00k.
= −1 + 2 − 1 = 0.
3. Find A · B if A = (0,2) and B = (2,0).
factors reverses the roles of the thumb and the index finger.
A − B = −1.00i + 2.00k.
A × B = −(B × A) .
the acceleration due to gravity, equal to 9.80 m s−1 .
(the vector sum of the forces on the object)?
electron for n = 1 and for n = 2.
velocity are perpendicular to each other, and L = mvr .