suppose A=4i+2j-k, B=i-2j+3k and C is a vector lying along x-axis with the property that A[B+C]=0. then vector C is given by:

A.3j/2
B.-4i
C.3i
D.-3i/4

D.-3i/4

Did you know?

Did you know that in mathematics, vectors are often used to represent quantities with magnitude and direction? In the given scenario, we have three vectors: A, B, and C. Vector A is represented as 4i + 2j - k, while vector B is represented as i - 2j + 3k. Vector C is a vector lying along the x-axis and has the property that A[B + C] equals zero. To determine the value of vector C, we can use algebraic manipulation. By substituting the given values of A and B into the equation A[B + C] = 0, we can solve for vector C. After performing the calculations, we find that vector C is equal to 3i. Therefore, option C, 3i, is the correct answer. Remember, vectors allow us to visually represent quantities with both magnitude and direction, making them incredibly useful in various fields of mathematics and sciences.