If a-k- and b-2-3k-k- then find-iComponent of b- along a- iiComponent of b- perpendicular to along a-

Given, a⃗=î+ĵ+k̂, b⃗=2ĵ 3k̂+k̂ â=1√(3)( î+ĵ+k̂) unit vector Component of b⃗ along a⃗ is b⃗.â=( 2ĵ 3k̂+k̂).[ 1√(3)( î+ĵ+k̂) ] =1√ ...

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

Vector Component

If a⃗=î+ĵ+k...

Question

If $\to a =^i +^j +^k$ and $\to b = 2^j - 3^k +^k$ , then find:
(i)Component of $\to b$ along $\to a$
(ii)Component of $\to b$ perpendicular to along $\to a$

Open in App

Solution

Suggest Corrections

Similar questions

\to a =^i + 2^j +^k

\to b = 2^i +^j -^k

\to a

\to b

\to a = 2^i +^j + 3^k

\to b = 3^i + 2^j +^k

\to c =^i -^j - 4^k

\to d =^i + 2^j -^k

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

(\to a + \to b)

(\to a - \to b)

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

\to b =^i + 2^j + 3^k .

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

\to b = - 3^i +^k

\to c =^i + 2^j + 3^k

A)

[\to a \times \to b

\to b \times \to c

\to c \times \to a]

B)

[\to a + \to b

\to b + \to c

\to c + \to a]

C)

[\to a

\to b

\to c]

[\to a

\to b

\to c]^{- 1}

D)

[\to a - \to b

\to b - \to c

\to c - \to a]

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

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

\to a + \to b + \to c = 4^i - 4^j

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

\to a + 2 \to b - 3 \to c

\sqrt{78}

Join BYJU'S Learning Program