Class XII Maths Vectors 4

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Question 1

Given unit vectors , & such that angle between & = angle between and (×) = then [] =

• A
• B
• C
• DNone of these

Question 2

Let , , be vectors such that + + = 0. If | | = 3, | | = 5, | | = 4. Then the value of the . + . + . is-

• A47
• B– 25
• C0
• D25

Question 3

Let and If the vector lies in the plane of and , then x equals

• A0
• B1
• C– 4
• D–2

Question 4

If algebraic sum of distance of a variable line from points (2, 0), (0, 2) and (–2, -2) is zero, then the line passes through the fixed point

• A(–1, –1)
• B(0,0)
• C(1, 1)
• D(2, 2)

Question 5

Let and . If the vector lies in the plane of and , then x equals

• A–4
• B–2
• C0
• D1

Question 6

Let and . Then depends on

• Aonly y
• Bonly x
• Cboth x and y
• Dneither x nor y

Question 7

If are unit vectors and θ is the acute angle between them, then is a unit vector for

• ANo value of θ
• BExactly one value of θ
• CExactly two values of θ
• DMore than two values of θ

Question 8

Consider points A, B, C and D with position vectors, and respectively. Then ABCD is a

• Asquare
• Brhombus
• Crectangle
• Dnone of these

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