Question

find scalar product of vectors in A=5i-3j, B=3i-5j​

Answer 1

Step by step explanation :-

Given :-

• A = ${5\hat{i} - 3\hat{j}}$
• B = ${3\hat{i} - 5\hat{j}}$

To find :-

• Scalar product of this

Solution :-

Product of A = ${5\hat{i} - 3\hat{j}}$

B = ${3\hat{i} - 5\hat{j}}$

${5\hat{i} - 3\hat{j}}$ × ${3\hat{i} - 5\hat{j}}$

Here we should not multiply $\hat{i}$ or $\hat{j}$

Just we have to multiply the numericals

= 5(3) + (-3) (-5)

= 15 + 15

= 30

So, the scalar product of ${5\hat{i} - 3\hat{j}}$

${3\hat{i} - 5\hat{j}}$ is 30

Know more about Dot product :-

• If the product of two vectors is again scalar such product is called dot product

Dot product or scalar product both are same

Properties of dot product :-

It obeys commutative law , distributive law

Commutative law :- $\bar{a} \times \bar{b} = \bar{b} \times \bar{a}$

Distributive law :- ${ \bar a \times ( \bar b + \bar c ) = \bar a \: \bar b + \bar a \: \bar c}$