If a-b-c- then is true that -a-b-c- Justify your answer-

Given a⃗=b⃗+c⃗ Consider, #160; b⃗=î+2ĵ+3k̂ c⃗= 3î ĵ 2k̂ a⃗=(b⃗ +c⃗) =4î+ĵ+k̂ a⃗=4î+ĵ+k̂ |a⃗|=√(4^2+1^2+1^2)=√(18) Similarly, ...

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Addition of Vectors

If a⃗=b⃗+c⃗...

Question

If $\to a = \to b + \to c$ , then is true that $| \to a | = | \to b | + | \to c |$ ? Justify your answer.

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Solution

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\to a = \to b + \to c

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

\to a, \to b, \to c

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

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

\to a, \to b, \to c

\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

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

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

\to a, \to b, \to c

\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 | =

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