In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space ( R 3 ) (\displaystyle \left(\mathbb (R) ^(3)
ight)) and is denoted by the symbol (\displaystyle imes ) . Given two linearly independent vectors a (\displaystyle \mathbf (a) ) and b (\displaystyle \mathbf (b) ) , the cross product, a b (\displaystyle \mathbf (a) imes \mathbf (b) ) , is a vector that is perpendicular to both a (\displaystyle \mathbf (a) ) and b (\displaystyle \mathbf (b) ) and thus normal to the plane containing them. It has many applications in mathematics, physics, engineering, and computer programming. It should not be confused with the dot product (projection product).
is cross product the same as dot product?
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Answer: no

The Gateway Arch National Park, formerly known as the Jefferson National Expansion Memorial until 2018, is an American national park located in St. Louis, Missouri, near the starting point of the Lewis and Clark Expedition. The Gateway Arch and its immediate surroundings were initially designated as a national memorial by executive order 7523 on December 21, 1935, and redesignated as a national park in 2018. The park is maintained by the National Park Service (NPS).
is the st louis arch a national monument?
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Answer: yes

A hallucination is a perception in the absence of external stimulus that has qualities of real perception. Hallucinations are vivid, substantial, and are perceived to be located in external objective space. They are distinguishable from several related phenomena, such as dreaming, which does not involve wakefulness; pseudohallucination, which does not mimic real perception, and is accurately perceived as unreal; illusion, which involves distorted or misinterpreted real perception; and imagery, which does not mimic real perception and is under voluntary control. Hallucinations also differ from ''delusional perceptions'', in which a correctly sensed and interpreted stimulus (i.e., a real perception) is given some additional (and typically absurd) significance.
are sensory experiences that occur in the absence of real stimuli?
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Answer:
no