If a-5-3k- and b-3-5k- then show that a-b- and a-b- are orthogonal-

Given a⃗=5î ĵ+3k̂ #160; and b⃗=î+3ĵ 5k̂ a⃗ + b⃗=6î+2ĵ 2k̂ #160; #160;and #160; a⃗ b⃗=4î 4ĵ+8k̂ For orthogonality (a⃗+ b⃗).(a⃗ ...

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

Addition and Subtraction in Unit Vector Notation

If a⃗=5î-ĵ+...

Question

If $\to a = (5^i -^j + 3^k)$ and $\to b = (^i + 3^j - 5^k)$ then show that $(\to a + \to b)$ and $(\to a - \to b)$ are orthogonal.

Open in App

Solution

Suggest Corrections

Similar questions

If $\to a = 5^i -^j + 7^k, \to b =^i -^j + λ^k$ find $λ,$ , if $\to a + \to b$ and $\to a - \to b$ are orthogonal

\to a = 2^i + 3^j - 4^k, \to b =^i +^j +^k

\to c = 4^i + 3^k

| \to a \times (\to b \times \to c) | =

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

| \to b | \to a - | \to a | \to b

\to a = 2^i - 3^j + 5^k, \to b = 3^i - 4^j + 5^k

\to c = 5^i - 3^j - 2^k

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

\to a =^i +^j +^k

\to b =^i -^j +^k

\to c =^i +^j -^k

\to a =^i -^j -^k

(\to a \times \to b) \times (\to c \times \to d)

Join BYJU'S Learning Program