Let r = x , y be an arbitrary vector . In each part, describe the set of all points ( x, y ) in 2-space that satisfy the stated condition. a r = 1 b r ≤ 1 c r > 1
Let r = x , y be an arbitrary vector . In each part, describe the set of all points ( x, y ) in 2-space that satisfy the stated condition. a r = 1 b r ≤ 1 c r > 1
Let
r
=
x
,
y
be an arbitrary vector. In each part, describe the set of all points (x, y) in 2-space that satisfy the stated condition.
a
r
=
1
b
r
≤
1
c
r
>
1
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
10. (a) The non-zero vectors a, b andc are such that axb exa. Given that b -e, find a linear
relationship between a, b and c.
(b) The variable vector v satisfies the equation vx(i-3k)= 2j. Find the set of vectors v and
[(b) v =
HER]
fully describe this set geometrically.
17) Let a = [3, -4] and b = [−6, k].
a) Determine the value(s) of k such
that a + b = a + 6. What is the
relationship between the two vectors
for this result to be true?
b) Determine the value(s) of k such
that a + b < a + b. What is the
relationship between the two vectors
for this result to be true?
Let a =
and b =
be two vectors
-
What is Ja2|b|2+ |a · b2 ?
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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