The non zero vector a-b-c- related by a-8b- and c-7b- then angle between a- c- is

The correct option is A π Given a̅=8b̅,c̅= 7b̅ nbsp;We need the angle between nbsp; a̅ nbsp;and nbsp; c̅ .One of the two vectors is ...

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Standard XII

Mathematics

Applications of Dot Product

The non zero ...

Question

The non zero vector $\to a, \to b, \to c$ related by $\to a = 8 \to b a n d \to c = - 7 \to b$ , then angle between $\to a$ & $\to c$ is

π

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\frac{π}{2}

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0

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\frac{π}{4}

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Solution

The correct option is A $π$
Given $¯ a = 8 ¯ b, ¯ c = - 7 ¯ b$
We need the angle between $¯ a$ and $¯ c$ .
One of the two vectors is along $¯ b$ and the other is in the opposite direction along $- ¯ b$ , thus the angle between the two vectors becomes $π$ or $180^{o}$

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Similar questions

Q. The non-zero vectors

\to a, \to b

and

\to c

are related by

\to a = 8 \to b

and

\to c = - 7 \to b

, then the angle between

\to a

and

\to c

Q. If

\to a, \to b, \to c

are unit vectors and the angles between

\to a, \to b

and

\to b, \to c

and

\to c, \to a

are

\frac{π}{6}, \frac{π}{3}

and

\frac{π}{4}

respectively, then

| \to a + \to b + \to c |

Q. Let

\to A, \to B

and

\to C

be unit vectors. Suppose that

\to A \cdot \to B = \to A \cdot \to C = 0

and that the angle between

\to B

and

\to C

\frac{π}{6}

then

\to A =

Q. Let

\to a, \to b, \to c

be three non-zero vectors such that

\to c

is a unit vectors perpendicular is both

\to a

and

\to b

. If the angle between

\to a

and

\to b

\frac{π}{6}

, prove that

[\to a \to b \to c]^{2} = \frac{1}{4} | \to a |^{2} | \to b |^{2}

Q. If

\to a

and

\to c

unit vectors and

| \to b | = \sqrt{5}

. The angle between

\to a

and

\to c

\frac{π}{3}

and

\to b - 2 \to c = α \to a

, then

α

is a root of equation is :

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The non zero vector →a,→b,→c related by →a=8→b and →c=−7→b, then angle between →a & →c is

The correct option is A πGiven ¯a=8¯b,¯c=−7¯b We need the angle between ¯a and ¯c.One of the two vectors is along ¯b and the other is in the opposite direction along −¯b, thus the angle between the two vectors becomes π or 180o

The non zero vector $\to a, \to b, \to c$ related by $\to a = 8 \to b a n d \to c = - 7 \to b$ , then angle between $\to a$ & $\to c$ is

The correct option is A $π$
Given $¯ a = 8 ¯ b, ¯ c = - 7 ¯ b$
We need the angle between $¯ a$ and $¯ c$ .
One of the two vectors is along $¯ b$ and the other is in the opposite direction along $- ¯ b$ , thus the angle between the two vectors becomes $π$ or $180^{o}$