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The product of the number of plane vectors! Let BC=2BD, CA=3CE, then AD*BE=____.
Is find vector AD point multiply vector BE
Because vector BC=2×vector BD
So D is the midpoint of segment BC
So |AD |=√3/2
EF vertical BC after E, F is vertical
Then |EF|=|AD|/3=√3/6
So
Vector AD point multiplied by vector BE = Vector AD point multiplied by vector FE
=|AD EF|*cos180=-(√3/2)*(√3/6)=-1/4
Mathematical plane vector quantity product Verify that the two diagonals of the diamond are perpendicular to each other One high mathematical plane vector quantity product Verify that the two diagonals of the diamond are perpendicular to each other
Let the vectors of the two sides of the diamond be ab respectively (the opposite side vectors of the diamonds parallel to each other are the same)
Where ab is equal in length
The two diagonals are a+b a-b
The vector product of the diagonal is (a+b)(a-b)= a^2-b^2
A, b are equal in length, so a^2-b^2=0
Therefore, the two diagonal vector product is 0
The two vectors with a vector product of 0 are perpendicular to each other, so that the rhombic diagonals are perpendicular to each other
The problem of product of quantity of vector 》》》 Given that a and b are all unit vectors, and their included angle is 60°, what is |a+3b| equal to? The problem of product of quantity of vector 》》》 Given that a and b are unit vectors, and their included angle is 60°, what is |a+3b| equal to?
(A+3b)^2=a^2+6ab+9b^2=1+6*1*1*cos60°+9=10+6*1/2=13
The product of the number of plane vectors! In triangle ABC, AB=2, AC=3, D is the midpoint of edge BC, then AD*BC=?
0
How are space vectors AB and BA converted? (Non-zero vector) Ditto
A minus sign becomes another vector.
The length of vector AB and the length of vector BA are equal, why
Yes, the length is the absolute value of vector AB, and the absolute value of vector AB is equal to the absolute value of vector BA.
Yes, the length is the absolute value of the vector AB, and the absolute value of the vector AB is equal to the absolute value of the vector BA the theorem
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