Find the linear relation between the following system of vectors a- b- c- being any three non-coplanar vectors- a-b-c- b-c-a- c-a-b- 2a-3b-4c-

The correct option is C ( 7/2 ) ( a b+c )+ ( b+c a ) 1/2 ( c+a+b )= 2a 3b+4c ...

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Applications of Dot Product

Find the line...

Question

Find the linear relation between the following system of vectors $\to a, \to b, \to c$ being any three non-coplanar vectors:
$\to a - \to b + \to c, \to b + \to c - \to a, \to c + \to a + \to b, 2 \to a - 3 \to b + 4 \to c .$

(2) (a - b + c) + (3) (b + c - a) - \frac{1}{2} (c + a + b) = 2 a - 3 b + 4 c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(3) (a - b + c) + (b + c - a) - (2) (c + a + b) = 2 a - 3 b + 4 c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(7 / 2) (a - b + c) + (b + c - a) - \frac{1}{2} (c + a + b) = 2 a - 3 b + 4 c

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(5 / 2) (a - b + c) + (b + c - a) - \frac{1}{2} (c + a + b) = 2 a - 3 b + 4 c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

\to a, \to b a n d \to c

\to a - 2 \to b + 3 c, - - \to 2 a + \to 3 b - \to 4 c a n d - \to b + \to 2 c

2 a - [3 b - {a - (2 c - 3 b) + 4 c - 3 (a - b - 2 c)}]

\to a, \to b, \to c

The scalars l and m such that $l \to a + m \to b = \to c$ where $\to a, \to b$ and $\to c$ are given vectors, are equal to

\to a, \to b, \to c

\to a . \to b = 0

\to a + \to b = \to c

Join BYJU'S Learning Program