If A=4 hati+8 hatj- hatk,B=3 hati+2 hatj- hatk and C=5 hati+4 hatj+ hatk, then A.(B.C) is equal to

Question

If A=4 hati+8 hatj- hatk,B=3 hati+2 hatj- hatk and C=5 hati+4 hatj+ hatk, then A.(B.C) is equal to (A)  88 hati+176 hatj-22 hatk  (B)  22 hati+44 hatj-11 hatk  (C)  hati+4 hatj- hatk  (D) None of these

Tardigrade Admin · Accepted Answer

Given, A=4 hati+8 hatj- hatk, B=3 hati+2 hatj- hatk and C=5 hati+4 hatj+ hatk Now, B.C=(3 hati+2 hatj- hatk).(5 hati+4 hatj+ hatk) =15+8-1 =22 ∴ A.(B.C)=(4 hati+8 hatj- hatk).22 =88 hati+176 hatj-22 hatk

Q. If $A = 4 \hat{i} + 8 \hat{j} - \hat{k}, B = 3 \hat{i} + 2 \hat{j} - \hat{k}$ and $C = 5 \hat{i} + 4 \hat{j} + \hat{k},$ then $A . (B . C)$ is equal to

$88 \hat{i} + 176 \hat{j} - 22 \hat{k}$

$22 \hat{i} + 44 \hat{j} - 11 \hat{k}$

$\hat{i} + 4 \hat{j} - \hat{k}$

None of these

Q. If A=4i^+8j^​−k^,B=3i^+2j^​−k^ and C=5i^+4j^​+k^, then A.(B.C) is equal to

88i^+176j^​−22k^

22i^+44j^​−11k^

i^+4j^​−k^

None of these

Given, A=4i^+8j^​−k^, B=3i^+2j^​−k^ and C=5i^+4j^​+k^ Now, B.C=(3i^+2j^​−k^).(5i^+4j^​+k^) =15+8−1 =22 ∴ A.(B.C)=(4i^+8j^​−k^).22 =88i^+176j^​−22k^

Q. If $A = 4 \hat{i} + 8 \hat{j} - \hat{k}, B = 3 \hat{i} + 2 \hat{j} - \hat{k}$ and $C = 5 \hat{i} + 4 \hat{j} + \hat{k},$ then $A . (B . C)$ is equal to

$88 \hat{i} + 176 \hat{j} - 22 \hat{k}$

$22 \hat{i} + 44 \hat{j} - 11 \hat{k}$

$\hat{i} + 4 \hat{j} - \hat{k}$