A)The projection of a vector on another vector gives the component along that vector.
B) The component of a vector is a scalar and can be converted to a vector component by multiplying with a unit vector.

Both A & B are correct

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Both A & B are wrong

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A is correct but B is wrong

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B is correct but A is wrong

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Solution

The correct option is D Both A & B are correct
Projection of a $\to A$ on $\to B$ is given as: $| A | \frac{\to A . \to B}{| A | . | B |} = \frac{\to A . \to B}{| B |}$ which is a scalar.
And the vector-form of above projection is given as: $^B \frac{\to A . \to B}{| B |}$

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Similar questions

Q. Which of the following algebraic operations with scalar and vector physical quantities are meaningful.

(i) adding any two vectors
(ii) adding a scalar to a vector of the same dimensions
(iii) multiplying any vector by any scalar
(iv) multiplying any two scalars
(v) adding any two scalars
(vi) adding a component of a vector to the same vector.

State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:

(a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions, (c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.

Q. The component of a vector

\to a

along and perpendicular to a nonzero vector

\to b

is:

The horizontal component of vector a is equal to the vertical component of vector b. If 30 degrees is the angle made by vector a with its vertical axis and that made by vector b with its horizontal Axis, then calculate the value of vector b in terms of vector a.

\to A = 2^i + 3^j +^k

and

\to = 4^i + 3^j

. Magnitude of the component of vector

\to A

along vector

\to B

is .

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A)The projection of a vector on another vector gives the component along that vector.B) The component of a vector is a scalar and can be converted to a vector component by multiplying with a unit vector.

The correct option is D Both A & B are correctProjection of a →A on →B is given as: |A|→A.→B|A|.|B|=→A.→B|B| which is a scalar.And the vector-form of above projection is given as: ^B→A.→B|B|

A)The projection of a vector on another vector gives the component along that vector.
B) The component of a vector is a scalar and can be converted to a vector component by multiplying with a unit vector.

The correct option is D Both A & B are correct
Projection of a $\to A$ on $\to B$ is given as: $| A | \frac{\to A . \to B}{| A | . | B |} = \frac{\to A . \to B}{| B |}$ which is a scalar.
And the vector-form of above projection is given as: $^B \frac{\to A . \to B}{| B |}$