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Question 1204d
Vectors I: Basics, Dot and Cross Products
Geometric Interpretations I
Question
Generate new
The points
A
{A}
A
and
B
{B}
B
have position vectors
a
{\mathbf{a}}
a
and
b
{\mathbf{b}}
b
respectively.
Write down an expression for the area of the parallelogram formed by
O
A
{OA}
O
A
and
O
B
.
{OB.}
OB
.
Attempt
Select the correct option:
∣
a
⋅
b
^
∣
.
{\Big| \mathbf{a} \cdot \mathbf{\hat{b}} \Big|.}
a
⋅
b
^
.
∣
b
⋅
a
^
∣
.
{\Big| \mathbf{b} \cdot \mathbf{\hat{a}} \Big|.}
b
⋅
a
^
.
∣
a
×
b
^
∣
.
{\Big| \mathbf{a} \times \mathbf{\hat{b}} \Big|.}
a
×
b
^
.
∣
b
×
a
^
∣
.
{\Big| \mathbf{b} \times \mathbf{\hat{a}} \Big|.}
b
×
a
^
.
1
2
∣
a
×
b
∣
.
{\frac{1}{2} \Big| \mathbf{a} \times \mathbf{b} \Big|.}
2
1
a
×
b
.
∣
a
×
b
∣
.
{\Big| \mathbf{a} \times \mathbf{b} \Big|.}
a
×
b
.
Answer
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