If a is a vector and x is a non-zero scalar- then -A- x a- is a vector in the direction of a-B- x a- is a vector collinear to a-C- x a- and a- have independent directionsD- None of these

The correct option is B x a is a vector collinear to aB = xa If x is ve direction of B anti parallel to that of nbsp;a If x is +ve direction of B remains sa ...

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Byju's Answer

Standard XII

Physics

Vector Addition

If a is a vec...

Question

If $\to a$ is a vector and $x$ is a non-zero scalar, then -

x \to a

is a vector in the direction of

\to a

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x \to a

is a vector collinear to

\to a

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x \to a

and

\to a

have independent directions

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None of these

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Solution

The correct option is B $x \to a$ is a vector collinear to $\to a$
$\to B = x \to a$
If $x$ is -ve direction of $\to B$ anti parallel to that of $\to a$
If $x$ is +ve direction of $\to B$ remains same as $\to a$
$\to B$ and $\to a$ are collinear vectors

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Similar questions

Q. Any vector

\to r

in the plane of two non-zero, non collinear vectors

\to a

and

\to b

can be expressed uniquely as a linear combination

x \to a + y \to b

\to a a n d \to b,

where

x \to a a n d y \to b

are the components of vector

\to r

Q. Any vector

\to r

in the plane of two non-zero, non collinear vectors

\to a

and

\to b

can be expressed uniquely as a linear combination

x \to a + y \to b

\to a a n d \to b,

where

x \to a a n d y \to b

are the components of vector

\to r

Q. Assertion :Vectors

\to a, \to b, \to c

are coplanar. Reason:

(x \to a + y \to b) = \to 0 \Rightarrow

x = 0 and y = 0.

Q. Let

\to a, \to b, \to c

be unit vectors such that

\to a ⊥ \to b

and

\to c

is equally inclined to

\to a

and

\to b

. If

\to c = x \to a + y \to b + z (\to a \times \to b)

, then

Q. Let

\to a

and

\to b

are two non-collinear vectors then for which value of

x

and

y

2 \to u - \to v = \to w

will be true,where

\to u = x \to a + 2 y \to b

\to v = - 2 y \to a + 3 x \to b

and

\to w = 4 \to a - 2 \to b

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If →a is a vector and x is a non-zero scalar, then -

The correct option is B x →a is a vector collinear to →a→B=x→a If x is -ve direction of →B anti parallel to that of →a If x is +ve direction of →B remains same as →a →B and →a are collinear vectors

If $\to a$ is a vector and $x$ is a non-zero scalar, then -

The correct option is B $x \to a$ is a vector collinear to $\to a$
$\to B = x \to a$
If $x$ is -ve direction of $\to B$ anti parallel to that of $\to a$
If $x$ is +ve direction of $\to B$ remains same as $\to a$
$\to B$ and $\to a$ are collinear vectors