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What is the dot product of two rectangular components of a vector?
a vector is a line with direction and distance. there is no answer to your question. the dot is the angular relationship between two vectors.
1 1 Check whether the following set of vectors is LD or LI?
(i) They are linearly dependent since the 2nd vector is twice the 1st vector. All 3 vectors lie in the x-z plane, so they don't span 3D space. (ii) They are linearly independent. Note that the cross-product of the first two is (-1,1,1). If the third vector is not perpendicular to the above cross-product, then the third vector does not lie in the plane defined by the first two vectors. (-1,1,1) "dot" (1,1,-1) = -1+1-1 = -1, not zero, so 3rd vector is not perpendicular to the cross product of the other two.
What does the x stand for in maths?
At the lower levels it stands for multiplication, at more advanced levels it stands for the cross product of vector multiplication (in three or seven dimensions). The multiplication operator can also be a dot on the line ( . ), a dot above the line ( 𝆴 ), an asterisk ( * ), and probably some other symbols as well.
Why we use sine angle in cross product while cos angle in dot product?
Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin
How do you take dot product of two vectors?
Multiply the product of their magnitudes by the cosine of the angle between them.
