If - a- - 3- - b- - 4- - c- - 5-a-b-c-b- c-a- and c- a-b- then -2 - a-b-c- - is equal to

Given, nbsp; a⃗⊥(b⃗+c⃗),b⃗⊥ (c⃗+a⃗) and c⃗⊥ (a⃗+b⃗) ⇒a⃗, b⃗,c⃗ are perpendicular to each other.....(i) ∴√(2)|a⃗+b⃗+c⃗|=√(2)√(|a⃗|^2+|b⃗|^ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Applications of Dot Product

If | a⃗ |= ...

Question

If $| \to a | = 3, ∣ ∣ \to b ∣ ∣ = 4, | \to c | = 5, \to a ⊥ (\to b + \to c), \to b ⊥ (\to c + \to a)$ and $\to c ⊥ (\to a + \to b)$ then $\sqrt{2} ∣ ∣ \to a + \to b + \to c ∣ ∣$ is equal to

Open in App

Solution

Suggest Corrections

Similar questions

| \to a | = 1, ∣ ∣ \to b ∣ ∣ = \sqrt{2}

| \to c | = \sqrt{3}

\to a ⊥ (\to b + \to c)

\to b ⊥ (\to c + \to a)

\to c ⊥ (\to a + \to b)

∣ ∣ \to a + \to b + \to c ∣ ∣

\to A = \to b \times \to c, \to B = \to c \times \to a, \to C = \to a \times \to b

\to A \times (\to B \times \to C)

\to B \times (\to C \times \to A)

\to C \times (\to A \times \to B)

\to a, \to b

\to c

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

\to a + \to b

| \to a + \to b | = 6, | \to b + \to c | = 8

| \to c + \to a | = 10

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

[\to a + 2 \to b - \to c, \to a - \to b, \to a - \to b - \to c] =

(\to a + \to b) \times (\to a - \to b) + (\to b + \to c) \times (\to b - \to c) + (\to c + \to a) \times (\to c - \to a) =

Join BYJU'S Learning Program