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Collinear Vectors

Why angle btw...

Question

Why angle btwn collinear vectors is zero??
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Solution

Dear student,
collinear vectors means the vectors which are in the same direction so angle between them is zero.
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Similar questions

a, b, c

be three non-zero vectors such that no two of these are collinear. If the vectors

a + 2 b

is collinear with

c

b + 3 c

is collinear with

a

λ

being some non-zero scalar), then

a + 2 b + 6 c

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

be three non-zero vectors, no two of which are collinear. lf the vector

¯ ¯ ¯ a + 2 ¯ ¯ b

is collinear with

¯ ¯ c

¯ ¯ b + 3 ¯ ¯ c

is collinear with

¯ ¯ ¯ a

¯ ¯ ¯ a + ¯ ¯ b + 3 ¯ ¯ c =

Q. Answer the following as true or false:
(i)

\vec{a}

\vec{a}

are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Zero vector is unique.
(iv) Two vectors having same magnitude are collinear.
(v) Two collinear vectors having the same magnitude are equal.

¯ a, ¯ b, ¯ c

are three non-zero vectors no two of which are collinear and the vector

¯ a + ¯ b

is collinear with

¯ c

¯ b + ¯ c

is collinear with

¯ a

¯ a + ¯ b + ¯ c

\to a, \to b

\to c

be three non-zero vectors such that no two of these are collinear. If the vector

\to a + 2 \to b

is collinear with

\to c

\to b + 3 \to c

is collinear with

\to a (λ

being some non-zero scalar), then

\to a + 2 \to b + 6 \to c

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