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Distributive vector multiplication
Distributive vector multiplication
Theory
Theory
Animation
Simulator
Self Evaluation
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1)
Which expression can be written as 7(c + d)?
7c - 7d
7c + 7d
7c / 7d
7c x 7d
2)
Find the mistake in this problem: 3(x + 2) = 3x + 2.
should have added the 3 and 2
should multiply the 3 and X
should have minus the 3 and 2
No problem
3)
Find the mistake in this problem: 5(x + 8) = 5x - 40?
No problem
should have added the 5 and 40
should have minus the 5 and 40
should have multiply the 5 and 40
4)
What is the area of the parallelogram?
b=A*h
A=b+h
A=b*h
A=b*h
5)
Which equation violates the distributive property of vector multiplication ?
(A + B) x C = A x C + B x C
A x (B + C) = (A x B) + (A x C)
A x (B + C) = A x B + A x C
(A + B) x C = A x C - B x C
6)
Where distributive property of vector multiplication over addition can be applied?
Scalar addition
Cross product
Vector addition
Scalar multiplication
7)
The distributive property of vector multiplication is valid only for scalar multiplication.
None of these
statement is incomplete.
False
True
8)
Where the distributive property of vector multiplication can be applied?
Vector subtraction
Vector cross product
Scalar product
Scalar multiplication
9)
Which is true about the cross product of two vectors?
It is commutative, i.e A x B = B x A
It produces a scalar quantity
It is used to find the angle between two vectors
It is defined only in two-dimensional space
10)
What is the dot product of two vectors
Tensor
Scalar
Vector
Matrix