If a=2 i+3 j+k, b=i-3 j-5 k and c=3 i-4 k then match the items of list I with those of list II. List I List II (a) Unit vector in the directionopposite to that of \overline{a}-\overline{b} is (i) 5 \overline{i}+3 \overline{j}-3 \overline{k} (b) If \ov {A B}=\overline{a}, \ov {B C}=\overline{b} then\ov {C A}= (ii) 2 \overline{i}- \frac{3}{3} \overline{k} (c) If \overline{a}, \overline{b}, \overline{c} are the positionvectors of vertices oftriangle then, its centroid is (iii) -3 \overline{i}+4 \overline{k} (d) If \overline{d} is a vector ifmagnitude 2 \sqrt {14} andparallel to vector \ov {a}, then\overline{b}-\overline{d}= (iv) - {\overline{i}}/\sqrt{73}- {6 \overline{j}}/{\sqrt {73}}- {6 \ov {k}}/\sqrt{73} (v) {3}/\sqrt{43} \overline{i}+ {5}/\sqrt{43} \overline{j}- {3}/{ \sqrt{43} \overline{k}

Correct Answer is : (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)

(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)

(a)-(iv), (b)-(iii), (c)-(ii), (d)-(v)

(a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)

(a)-(i), (b)-(ii), (c)-(iii), (d)-(v)

TS EAMCET 4 May 2018 Shift 2 Solved Paper

Section: Mathematics

Question : 29 of 160

Marks: +1, -0

If a=2i+3j+k,b=i−3j−5k and c=3i−4k then match the items of list I with those of list II.

List I

List II

(a)

Unit vector in the directionopposite to that of a−b is

(i)

5i+3j−3k

(b)

If AB=a,BC=b thenCA=

(ii)

2i−

(c)

If a,b,c are the positionvectors of vertices oftriangle then, its centroid is

(iii)

−3i+4k

(d)

If d is a vector ifmagnitude 2√14 andparallel to vector a, thenb−d=

(iv)

−

√73

−

√73

−

√73

(v)

√43

j−

√43

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