Given a - b - c - d -0 which of the following statement S is are correct- A- a - b - c and d -0B- The magnitude of a-c- equals the magnitude of b-d-C- The magnitude of a- can never be greater than the sum of magnitudes of b-c- and d-D- The vectors form a quadrilateral given they are non-zero vectors

The correct options are B The magnitude of a⃗+c⃗ equals the magnitude of b⃗+d⃗ D The vectors form a quadrilateral given they are non zero vectorsConceptual ...

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Byju's Answer

Standard XII

Mathematics

Point Slope Form of a Line

Given a + b +...

Question

Given $\to a + \to b + \to c + \to d = 0$ which of the following statement (S) is (are) correct?

\to a + \to b + \to c

and

\to d = 0

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The magnitude of

\to a + \to c

equals the magnitude of

\to b + \to d

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The magnitude of

\to a

can never be greater than the sum of magnitudes of

\to b + \to c

and

\to d

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The vectors form a quadrilateral given they are non-zero vectors

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Solution

The correct options are
B The magnitude of $\to a + \to c$ equals the magnitude of $\to b + \to d$
D The vectors form a quadrilateral given they are non-zero vectors
Conceptual

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Similar questions

Q. Magnitudes of vectors

\to a, \to b, \to c

are

3, 4, 5

respectively. If

\to a

and

\to b + \to c

\to b

and

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and

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are mutually perpendicular, then the magnitude of

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\to a, \to b, \to c, \to a + \to b, \to b + \to c

and

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are vectors of same magnitude, none of which is null vector, then which of the following is false

Q. If

\to a, \to b, \to c

are three mutually perpendicular vectors of equal magnitude, prove that

(\to a + \to b + \to c)

is equally inclined with vectors

\to a, \to b

and

\to c

\to a, \to b, \to c

are mutually perpendicular vectors of equal magnitude then angle between

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Q. If

\to a, \to b, \to c

are non coplanar non zero vectors such that

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

and

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

then which of the following is not correct?

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Given →a+→b+→c+→d=0 which of the following statement (S) is (are) correct?

The correct options are B The magnitude of →a+→c equals the magnitude of →b+→d D The vectors form a quadrilateral given they are non-zero vectorsConceptual

Given $\to a + \to b + \to c + \to d = 0$ which of the following statement (S) is (are) correct?

The correct options are
B The magnitude of $\to a + \to c$ equals the magnitude of $\to b + \to d$
D The vectors form a quadrilateral given they are non-zero vectors
Conceptual