Question

vector a = 2i + 3j + 4k, vector b= i - j + k, then find their subtraction by algebric method​

Answer 1

Answer:

This is your answer...

Answer 2

Given :-

▪ Vector A = 2i + 3j + 4k

▪ Vector B = i - j + k

To Find :-

▪ Subtraction of vectors A and B by algebraic method.

Solution :-

We know,

⇒ A - B = A + (-B)

where, A and B are vectors.

Let us find - B, say C

⇒ C = -(1)i - (-1)j - (1)k

⇒ C = -i + j - k

Let us find the subtraction of vectors now,

⇒ A + C = A - B [ C = - B ]

⇒ A - B = {2 + (-1)}i + (3 + 1)j + (4 - 1)k

⇒ A - B = (2 - 1)i + 4j + 3k

⇒ A - B = i + 4j + 3k

Hence, The answer is i + 4j + 3k

Some Information :-

☞ Vector is a physical quantity that has both magnitude and direction and follows the vector law of addition. Vectors are characterized into Unit Vectors, Null Vectors, Parallel Vectors e.t.c

☞ The Parallelogram law of vector addition states that if any two vectors represent the adjacent sides of a parallelogram, Then the resultant vector is defined as the Diagonal of Parallelogram.