Start learning →

Indian Navy INET Vector Algebra — practice questions

Explore 30 free Vector Algebra questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Vector Algebra with Quill →

Vector Algebra questions and exercises with answers

Showing questions 1–30 of 30.

A quantity having only magnitude (no direction) is called:Read the answer and worked solution →If ā × b̄ = 0 and neither is the zero vector, then:Read the answer and worked solution →For vectors ā = î - ĵ + 2k̂ and b̄ = 3î + 2ĵ - k̂, find the AREA of the parallelogram formed (use |ā × b̄|):Read the answer and worked solution →Three vectors $\vec a, \vec b, \vec c$ are coplanar if and only if:Read the answer and worked solution →Match each kind of vector to its definitionRead the answer and worked solution →Does this produce a number or a vector?Read the answer and worked solution →True or false: the zero vectorRead the answer and worked solution →Complete the definition of a unit vectorRead the answer and worked solution →Tap every statement true of the scalar productRead the answer and worked solution →The two productsRead the answer and worked solution →Complete the angle formulaRead the answer and worked solution →True or false: scalar multiplicationRead the answer and worked solution →Order the steps: build a unit vector from a pointRead the answer and worked solution →Match each law to what it saysRead the answer and worked solution →Which vectors are these?Read the answer and worked solution →True or false: vector vocabularyRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Position vectors and magnitudeRead the answer and worked solution →Tap every statement true of the cross productRead the answer and worked solution →Flip and pair: symbol with meaningRead the answer and worked solution →Complete the component-form rulesRead the answer and worked solution →Order the steps: find the angle between two vectorsRead the answer and worked solution →Sort by what each formula gives youRead the answer and worked solution →True or false: adding vectorsRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: productsRead the answer and worked solution →Reading the vocabulary backRead the answer and worked solution →

Worked practice questions

A quantity having only magnitude (no direction) is called:

  1. Vector
  2. Tensor
  3. Matrix
  4. Scalar
Show answer and solution

Correct answer: D. Scalar

Scalars have only magnitude (mass, temperature, time). Vectors have both magnitude AND direction (velocity, force, displacement).

Open this question →

If ā × b̄ = 0 and neither is the zero vector, then:

  1. ā and b̄ are parallel/anti-parallel
  2. ā and b̄ are perpendicular
  3. |ā| = |b̄|
  4. ā = b̄
Show answer and solution

Correct answer: A. ā and b̄ are parallel/anti-parallel

|ā × b̄| = |ā||b̄|sin θ = 0 with non-zero vectors means sin θ = 0, so θ = 0 or 180° — parallel or anti-parallel (collinear).

Open this question →

For vectors ā = î - ĵ + 2k̂ and b̄ = 3î + 2ĵ - k̂, find the AREA of the parallelogram formed (use |ā × b̄|):

  1. √110
  2. √83
  3. √50
  4. √70
Show answer and solution

Correct answer: B. √83

ā × b̄ via determinant: i: (-1)(-1) - (2)(2) = 1 - 4 = -3. j: -[(1)(-1) - (2)(3)] = -(-1 - 6) = 7. k: (1)(2) - (-1)(3) = 2 + 3 = 5. So ā × b̄ = -3î + 7ĵ + 5k̂. |ā × b̄| = √(9 + 49 + 25) = √83. Area of parallelogram = √83.

Open this question →

How to practise

  1. Choose a Vector Algebra question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

Probability & StatisticsSequences and SeriesBinomial TheoremGeometrySequencesVectors & 3D GeometryPermutations and CombinationsLinear Programming