Solveeit Logo

Question

Mathematics Question on Vector Algebra

If a=i^3j^+αk^,b=i^2j^+4k^ and a×b=2i^+j^+βk^\overrightarrow{a}=\hat{i}-3\hat{j}+\alpha\hat{k}, \overrightarrow{b}=\hat{i}-2\hat{j}+4\hat{k}\ and\ \overrightarrow{a}\times\overrightarrow{b}=-2\hat{i}+\hat{j}+\beta\hat{k}, then the value of β\beta is equal to

A

-2

B

2

C

-1

D

1

E

-3

Answer

1

Explanation

Solution

The correct option is (D): 1