Related InterviewSolutions

• In the figure given below, which vectors are coinitial but not equal?(a) \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\)(b) \(\vec{b}\) and \(\vec{c}\)(c) \(\vec{a}\) and \(\vec{b}\)(d) \(\vec{a}\) and \(\vec{c}\)I got this question by my college director while I was bunking the class.I'd like to ask this question from Types of Vectors in division Vector Algebra of Mathematics – Class 12
• Which of the following is used to represent the magnitude of vector \(\vec{A}\)?(a) \(\hat{A}\)(b) |\(\vec{A}\)|(c) \(\underset{A}{\leftrightarrow}\)(d) \(\vec{A}\)I had been asked this question in homework.My question is taken from Vector Algebra Basics in section Vector Algebra of Mathematics – Class 12
• A scalar quantity has only magnitude and no direction.(a) True(b) FalseThe question was asked during an online interview.This intriguing question comes from Vector Algebra Basics topic in chapter Vector Algebra of Mathematics – Class 12
• If k is any scalar and \(\vec{a}\), \(\vec{b}\) be vectors then k \(\vec{a}\) + m\(\vec{a}\) can also be written as ________(a) (k+m)\(\vec{a}\)(b) \(\vec{a}\) + m\(\vec{a}\)(c) k \(\vec{a}\) + \(\vec{a}\)(d) mk\(\vec{a}\)I got this question during an interview for a job.This interesting question is from Multiplication of a Vector by a Scalar topic in section Vector Algebra of Mathematics – Class 12
• Find the magnitude of \(\vec{a}\) and \(\vec{b}\) which are having the same magnitude and such that the angle between them is 60° and their scalar product is \(\frac{1}{4}\).(a) \(|\vec{a}|=|\vec{b}|=\frac{1}{2√2}\)(b) \(|\vec{a}|=|\vec{b}|=\frac{1}{√2}\)(c) \(|\vec{a}|=|\vec{b}|=\frac{1}{2√3}\)(d) \(|\vec{a}|=|\vec{b}|=\frac{2}{√3}\)I have been asked this question by my college director while I was bunking the class.The question is from Product of Two Vectors-2 in portion Vector Algebra of Mathematics – Class 12
• In the given figure, which of the following vectors are coinitial?(a) \(\vec{a}\), \(\vec{c}\) and \(\vec{b}\)(b) \(\vec{d}\), \(\vec{c}\) and \(\vec{b}\)(c) \(\vec{a}\) and \(\vec{c}\)(d) \(\vec{b}\) and \(\vec{c}\)I had been asked this question in a national level competition.Question is taken from Types of Vectors in portion Vector Algebra of Mathematics – Class 12
• The vectors which start from the same initial point are called collinear vectors.(a) True(b) FalseThe question was asked by my college director while I was bunking the class.This key question is from Types of Vectors in section Vector Algebra of Mathematics – Class 12
• If l, m, n are the direction cosines of a position vector \(\vec{a}\), then which of the following is true?(a) l^2+m^2-n^2=0(b) lmn=1(c) l^2+m^2+n^2=1(d) l^2 m^2+n^2=1This question was posed to me during an online interview.Enquiry is from Vector Algebra Basics in portion Vector Algebra of Mathematics – Class 12
• Which of the following is not a vector quantity?(a) Speed(b) Density(c) Force(d) VelocityThe question was posed to me during a job interview.Question is taken from Vector Algebra Basics topic in division Vector Algebra of Mathematics – Class 12
• Find the angle between the vectors \(\vec{a}=\hat{i}-\hat{j}+2\hat{k} \,and \,\vec{b}=3\hat{i}+2\hat{j}+4\hat{k}\).(a) \(cos^{-1}⁡\sqrt{\frac{58}{3}}\)(b) \(cos^{-1}⁡\frac{\sqrt{58}}{3}\)(c) \(cos^{-1}\frac{⁡58}{3\sqrt{3}}\)(d) \(cos^{-1}⁡\frac{\sqrt{58}}{3\sqrt{3}}\)This question was addressed to me in a national level competition.This interesting question is from Product of Two Vectors-1 in division Vector Algebra of Mathematics – Class 12