1
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$\mathbf{a} \cdot \mathbf{b}=0$$ and $$\mathbf{a}+\mathbf{b}$$ makes an angle $$60^{\circ}$$ with $$a$$, then

A
$$|\mathbf{a}|=2|\mathbf{b}|$$
B
$$2|\mathbf{a}|=|\mathbf{b}|$$
C
$$|\mathbf{a}|=\sqrt{3}|\mathbf{b}|$$
D
$$\sqrt{3}|\mathbf{a}|=|\mathbf{b}|$$
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If the area of the parallelogram with $$\mathbf{a}$$ and $$\mathbf{b}$$ as two adjacent sides is 15 sq units, then the area of the parallelogram having $$\mathrm{3 a+2 b}$$ and $$\mathbf{a}+3 \mathbf{b}$$ as two adjacent sides in sq units is

A
45
B
75
C
105
D
120
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