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The scaler product of two vector can be negative,if the angle b/w two vector is 180 or two vector or antiparallel to each other
A.B=ABcos
A.B=ABcos180
A.B=-AB
THIS SHOW THAT SCALER PRODUCT OF TWO VECTOR CAN BE NEGATIVE.
EXAMPLE::Work done against force of friction:w=f.d
w=fbcos
w=fbcos180
w=-fb
:Work done against gravity:
w=f.d
here f=mg and d=h
so putting value
w=mghcos
w=mghcos180
w=-mgh
HENCE WORK DONE AGAINST FORCE OF GRAVITY IS NEGATIVE
Yes, the scalar product of two vectors can be negative. The scalar product, also known as the dot product, is calculated by multiplying the magnitudes of the vectors, the cosine of the angle between them, and the direction. If the angle between the vectors is obtuse (greater than 90 degrees), the cosine of the angle will be negative, resulting in a negative scalar product.
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What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
Why is scalar product two vectors a scalar?
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
Does the scalar product of two vectors depend on the choice of coordinate system?
No.
Why dot product of two vectors is scalar?
That's the way it is defined.
Can a scalar product by a negative quantity?
Yes, a scalar product can be negative if the angle between the two vectors is greater than 90 degrees. In this case, the dot product of the two vectors will be negative.
Can a scalar product be a negative quantity?
Yes, a scalar product can be negative if the angle between the two vectors is obtuse (greater than 90 degrees). The scalar product is the dot product of two vectors and is equal to the product of their magnitudes and the cosine of the angle between them. A negative scalar product indicates that the vectors are pointing in opposite directions.
Can scalar product be negative?
Yes, the scalar product of two vectors can be negative if the angle between them is obtuse (greater than 90 degrees). In this case, the result of the scalar product will be negative.
What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
Why is scalar product two vectors a scalar?
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
Can a scalar product be a negative quantity khan acedmey?
Yes, a scalar product can be negative. The scalar product is the result of multiplying the magnitudes of two vectors by the cosine of the angle between them. If the angle between the vectors is obtuse (greater than 90 degrees), the scalar product will be negative.
What is the difference between scalar and vector products of two vectors?
The scalar product (dot product) of two vectors results in a scalar quantity, representing the magnitude of the projection of one vector onto the other. The vector product (cross product) of two vectors results in a vector quantity that is perpendicular to the plane formed by the two input vectors, with a magnitude equal to the area of the parallelogram they span.
What is scalar and vector product simplify?
Scalar product (or dot product) is the product of the magnitudes of two vectors and the cosine of the angle between them. It results in a scalar quantity. Vector product (or cross product) is the product of the magnitudes of two vectors and the sine of the angle between them, which results in a vector perpendicular to the plane containing the two original vectors.
Does the scalar product of two vectors depend on the choice of coordinate system?
No.
Why dot product of two vectors is scalar?
That's the way it is defined.
What is the product of vector and scalar?
The product of a vector and a scalar is a new vector whose magnitude is the product of the magnitude of the original vector and the scalar, and whose direction remains the same as the original vector if the scalar is positive or in the opposite direction if the scalar is negative.
