If-the-vector-c-a-xi-yj-zk-and-b-j-are-such-that-a-c-and-b-form-a-right-handed-system-then-c-is-

Question Number 54421 by gunawan last updated on 03/Feb/19

If the vector c, a = x i + y j + z k and b = j

are such that a, c and b form a right

handed system, then c is

Commented by tanmay.chaudhury50@gmail.com last updated on 04/Feb/19

p l s c a r i f y i) (a, b, c) i i) (a, c, b) w h i c h o n e f o r m

r i g h t h a n d e d s y s t e m

Commented by gunawan last updated on 05/Feb/19

option to equation

a . z i - x k

b . \vec{0}

c . y j

d . - z i + x k

I^{'} m sorry Sir If question not clearly

Answered by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19

c = i p + j q + k r

b = j

a = i x + j y + k z

a \times c = b

[i j k]

[x y z]

[p q r]

i (y r - q z) - j (x r - p z) + k (x q - p y) = j [g i v e n]

y r - q z = 0

\frac{y}{q} = \frac{z}{r} \dots . (1) e q n

- (x r - p z) = 1 \dots . . (2) e q n

(x q - p y) = 0

\frac{x}{p} = \frac{y}{q} s o \frac{x}{p} = \frac{y}{q} = \frac{z}{r} = \frac{1}{α}

p = x α q = y α r = z α

- (x r - p z) = 1

- x (z α) + (x α) z = 1

s o m e t h i n g w r o n g p l s c h e c k q u e s t i o n \dots

Answered by ajfour last updated on 03/Feb/19

\bar{c} = \bar{a} \times \bar{b} = x \hat{k} - z \hat{i}

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