Explanation

To find the unit vector of A = 8i + 2j + 2k, follow these steps:

1. Find the magnitude of vector A:

   √(8² + 2² + 2²) = √(64 + 4 + 4) = √72

2. Divide each component by the magnitude:

   Unit vector â = (1/√72) × (8i + 2j + 2k)

Explanation

The Cold War was a period of global geopolitical rivalry between the United States (US) and the Soviet Union (USSR)

They began in the aftermath of the Second World War

They ended with the dissolution of the Soviet Union in 1991.

Explanation

Explanation

72 marks = 80% of total marks  

Let total marks = x  

So, 0.8x = 72 ⇒ x = 72 ÷ 0.8 = 90

Explanation

Devonian Period is spanning between about 419.2 million and 358.9 million years ago 

It was In geologic time, an interval of the Paleozoic Era

It is sometimes called the “Age of Fishes”

Plants, invertebrates, and other vertebrate lifeforms also experienced major changes in the Devonian

Additional informational:

The name of the Devonian Period is derived from the county of Devon, Eng.

During most of the Devonian Period, North America, Greenland, and Europe were united into a single Northern Hemisphere landmass

Explanation

 1 + 2 + 3 + ... + n = 15  

This is an arithmetic series. Use the formula:

n(n + 1)/2 = 15  

→ Multiply both sides by 2:  

n(n + 1) = 30  

Try n = 5:  

5(6) = 30 

So, n = 5

Now calculate:  

1³ + 2³ + 3³ + ... + n³  

Use formula:  

[n(n + 1)/2]² = [5×6/2]² = (15)² = 225

Explanation

If $\sin A=\sin B$, then:

A=B+360∘n or A=180∘−B+360∘n, where n ∈ Z

Let’s solve:

Case 1:

60∘+X=60∘⇒X=0∘

Case 2:

$$60^circ + X = 180^circ - 60^circ = 120^circ Rightarrow X = 60^circ$$

Possible values of X:

$$X = 0^circ quad text{or} quad X = 60^circ$$

Explanation

P and V graph at constant temperature, 

PV=nRT⟹ ideal gas equation.

PV=C 2 

xy=C 2  from hyperbola.

Explanation

The Council of Common Interest (CCI) is a constitutional body in Pakistan,

Established under Article 153 of the Constitution.

Formed: 1973

Headquarters: Islamabad

Its members include:

• The Prime Minister (Chairman)
• Chief Ministers of the Provinces
• Three members nominated by the Prime Minister from the Federal Government

Until 2010 the body worked under Cabinet Division

After the passing of the 18th amendment the body was transferred to the Ministry of Inter Provincial Coordination on 4 March 2010.

Explanation