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267 track questions

Math Chapter Wise subcategory

Operations On Vectors questions

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EnglishTGT 2003

Q261.The vector B= 3j +4k is written as the sum of the vectors α and β where α and A= i + j are parallel and the vectors B and A are perpendicular then α is equal to:

EnglishTGT 2003

Q262.If ˆ ˆ ˆ a i j k, = − + = − + = − + = − + ˆ ˆ ˆ b i 2j k = + − = + − = + − = + − and ˆ ˆ ˆ c 3i pj 5k = + + = + + = + + = + + are coplanar, then p is equal to

EnglishTGT 2003

Q263.Let α, β, γ, are real numbers then the position of vectors βi + γj + αk, γi + αj + βk and γi + αj + βk is:

EnglishTGT 2003

Q264.The product (scalar product) of the vector ˆ ˆ ˆ i j k + + + + and the unit vector is parallel to the sum of the sealars ˆ ˆ ˆ 2i 4j 3k + + + + and ˆ ˆ ˆ bi 2j 3k + + + +, then b will be equal to:

EnglishTGT 2003

Q265.The vector a lies in the plane of vectors b and c, which of the following is correct?

EnglishTGT 2003

Q266.The coordinates of the vertex of a tetrahedron are O (0,0,0), A (1,2,1), B (2,1,3) and C(–1, 1, 2) respectively. The angle between the surface OAB and ABC is:

EnglishTGT 2003

Q267.For what value of x the vector ˆ ˆ ˆ a xi xj 2k = + − = + − = + − = + − makes an acute angle with the vector ˆ ˆ ˆ b xi j k = − + = − + = − + = − + and obtuse angle with the vector ˆ ˆ ˆ c xi j 6k = − + = − + = − + = − +:

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