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Addition and Subtraction in Unit Vector Notation

Given that A⃗...

Question

Given that $\to A + \to B = \to C$ and that $\to C$ is $⊥$ to $\to A$ . Further if $| \to A | = | \to C |$ , then what is the angle between $\to A$ and $\to B$

A

$\frac{π}{4} r a d i a n$

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B

$\frac{π}{2} r a d i a n$

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C

$\frac{3 π}{4} r a d i a n$

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D

$π r a d i a n$

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Solution

The correct option is C
$\frac{3 π}{4} r a d i a n$

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Similar questions

\to A + \to B = \to C

\to C

is perpendicular to

\to A

| \to A | = | \to C |

,then what is the angle between

\to A

\to B

\to a, \to b, \to c

are three vectors such that

\to a \times \to b = \to c, \to b \times \to c = \to a, \to c \times \to a = \to b

then prove that

| \to a | = | \to b | = | \to c |

\to a, \to b, \to c

are unit vectors such that

\to a + \to b + \to c = \to 0

(\to a, \to b) = \frac{π}{3}

| \to a \times \to b | + | \to b \times \to c | + | \to c \times \to a | =

\to a, \to b, \to c

are non-coplanar unit vectors such that

\to a \times (\to b \times \to c) = \frac{(\to b + \to c)}{\sqrt{2}},

then the angle between

\to a

\to b

\to a, \to b

\to c

be three unit vectors such that

\to a \times (\to b \times \to c) = \frac{\sqrt{3}}{2} (\to b \times \to c) \cdot

\to b

is not parallel to

\to c .

Then the angle between

\to a

\to b

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