Show that the vectors a- -b- c- given by a- - 2- - 3k-and c- - k- are non-coplanar-Express vector d-2- -3k- as a linear combination of the vectors a- b- and c-

[a⃗ #160;b⃗ #160;c⃗]= #160;| 1 amp; 2 amp; 3 2 amp; 1 amp; 3 1 amp; 1 amp; 1 | =(1 3) 2(2 3)+3(2 1) 1( 2) 2( ...

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

Distance Formula

Show that the...

Question

Show that the vectors $\to a, \to b, \to c$ given by $\to a =^i + 2^j + 3^k$ ,and $\to c =^i +^j +^k$ are non-coplanar.Express vector $\to d = 2^i -^j - 3^k$ as a linear combination of the vectors $\to a, \to b$ and $\to c$

Open in App

Solution

Suggest Corrections

Similar questions

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

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

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

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

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

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

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

\to a^{'} =^i +^j, \to b^{'} =^i +^j + 2^k

\to c^{'} = 2^i +^j -^k

\to a, \to b, \to c

\to b

\to c

(\to a, \to b, \to c

{\to a}^{'}, {\to b}^{'}, {\to c}^{'}

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

\to C = 3^i +^j

\to A + t \to B

\to C

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

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

Join BYJU'S Learning Program