Question

show that vector a = i-5j and vector B = 2i-10j are parallel to each other

Answer 1

Answer:

....................

Answer 2

Answer:

A and B, the two vectors, are parallel to one another.

Explanation:

Given: vector a = i-5j

vector b = 2i-10j

To prove: Both the vectors are parallel

Solution:

There are two ways to multiply a vector: a scalar product, which produces a scalar, and a cross or vector product, which produces a vector. We shall examine the cross or vector product of two vectors in this post.

Here, we must demonstrate that the cross-product of the two vectors is zero in order to show that they are parallel to one another.

Cross product, then

AXB=C

Substituting the value of vectors A and B

$C = (i - 5j) * (2 - 10j)\\ = -10j + 10j = 0$

Thus we can conclude that AXB=ABSinθ

Also, we know that A ≠ B  ≠ 0

So, sinθ = 0 or θ = 0

As a result, the two vectors A and B are parallel.

Hence the vectors are parallel to each other.

Prove that cross product of two vectors is equal to the area of a parallelogram.

https://brainly.in/question/41184

What is Cross Product of vectors? State some properties of Cross Products

https://brainly.in/question/246465

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